If you have completed the Tribonacci sequence kata, you would know by now that mister Fibonacci has at least a bigger brother. If not, give it a quick look to get how things work.

Well, time to expand the family a little more: think of a Quadribonacci starting with a signature of 4 elements and each following element is the sum of the 4 previous, a Pentabonacci (well *Cinquebonacci* would probably sound a bit more italian, but it would also sound really awful) with a signature of 5 elements and each following element is the sum of the 5 previous, and so on.

Well, guess what? You have to build a Xbonacci function that takes a **signature** of X elements *- and remember each next element is the sum of the last X elements -* and returns the first **n** elements of the so seeded sequence.

```
xbonacci {1,1,1,1} 10 = {1,1,1,1,4,7,13,25,49,94}
xbonacci {0,0,0,0,1} 10 = {0,0,0,0,1,1,2,4,8,16}
xbonacci {1,0,0,0,0,0,1} 10 = {1,0,0,0,0,0,1,2,3,6}
xbonacci {1,1} produces the Fibonacci sequence
```

Source: codewars | Difficulty: EASY
Tags: Number theory

Fundamentals

Data structures

Starter code: def Xbonacci(signature,n):
	

Solutions:
def Xbonacci(signature, n):
	(output, x) = (signature[:n], len(signature))
	while len(output) < n:
		output.append(sum(output[-x:]))
	return output


def Xbonacci(signature, n):
	length = len(signature)
	while len(signature) < n:
		signature.append(sum(signature[-length:]))
	return signature[:n]


def Xbonacci(sig, n):
	res = sig[:n]
	for i in range(n - len(sig)):
		res.append(sum(res[-len(sig):]))
	return res


def Xbonacci(signature, n):
	l = len(signature)
	for i in range(l, n):
		signature += [sum(signature[i - l:i])]
	return signature[:n]


def Xbonacci(signature, n):
	result = []
	for i in range(n):
		signature.append(sum(signature))
		result.append(signature.pop(0))
	return result


def Xbonacci(signature, n):
	length = len(signature)
	for i in range(n - len(signature)):
		signature.append(sum(signature[-length:]))
	return signature[:n]


def Xbonacci(signature, n):
	sig = len(signature)
	if sig > n:
		return signature[:n]
	xbon = signature
	for i in range(sig, n):
		xbon.append(sum(xbon[i - sig:]))
	return xbon


def Xbonacci(s, n):
	if n < len(s):
		return s[:n]
	x = len(s)
	for i in range(n - len(s)):
		s.append(sum(s[-x:]))
	return s


def Xbonacci(sequence, n):
	i = 0
	while len(sequence) < n:
		sequence.append(sum(sequence[i:]))
		i += 1
	return sequence[:n]


def Xbonacci(signature, n):
	x = len(signature)
	res = signature[:n]
	for i in range(n - x):
		res.append(sum(res[-x:]))
	return res


def Xbonacci(signature, n):
	l = len(signature)
	t = signature
	i = l
	while i < n:
		t.append(sum(t[i - l:i]))
		i += 1
	return t[:n]


def Xbonacci(signature, n):
	x = len(signature)
	for _ in range(n - x):
		signature.append(sum(signature[-x:]))
	return signature[:n]


def Xbonacci(signature, n):

	def gen_bonacci(signature):
		yield from signature
		from collections import deque
		signature = deque(signature)
		while 1:
			signature.append(sum(signature))
			signature.popleft()
			yield signature[-1]
	from itertools import islice
	return [i for i in islice(gen_bonacci(signature), n)]


def Xbonacci(signature, n):
	l = len(signature)
	for i in range(n - l):
		signature.append(sum(signature[-l:]))
	return signature if n > l else signature[:n]


def Xbonacci(signature, n):
	size = len(signature)
	while len(signature) < n:
		signature.append(sum(signature[-size:]))
	return signature[:n]