A051036 a(n) = binomial(n, floor(n/4)).
1, 1, 1, 1, 4, 5, 6, 7, 28, 36, 45, 55, 220, 286, 364, 455, 1820, 2380, 3060, 3876, 15504, 20349, 26334, 33649, 134596, 177100, 230230, 296010, 1184040, 1560780, 2035800, 2629575, 10518300, 13884156, 18156204, 23535820, 94143280, 124403620
Offset: 0
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..1000
Programs
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Mathematica
a[n_] := Binomial[n, Floor[n/4]]; Array[a, 50, 0] (* Enrique Pérez Herrero, Mar 06 2012 *)
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Python
from math import comb def A051036(n): return comb(n,n>>2) # Chai Wah Wu, Feb 02 2023