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A348289 a(n) = Sum_{k=0..floor(n/8)} binomial(n-4*k,4*k). 4
1, 1, 1, 1, 1, 1, 1, 1, 2, 6, 16, 36, 71, 127, 211, 331, 497, 725, 1047, 1531, 2316, 3668, 6064, 10312, 17717, 30309, 51165, 84893, 138417, 222329, 353285, 558253, 881918, 1399274, 2236480, 3604588, 5853067, 9553715, 15631615, 25570103, 41734433, 67889133, 110035211, 177778263 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,9
LINKS
FORMULA
G.f.: (1-x)^3/((1-x)^4 - x^8).
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) + a(n-8).
PROG
(PARI) a(n) = sum(k=0, n\8, binomial(n-4*k, 4*k));
(PARI) my(N=66, x='x+O('x^N)); Vec((1-x)^3/((1-x)^4-x^8))
CROSSREFS
Cf. A101552.
Sequence in context: A325743 A254119 A145126 * A365733 A005676 A365735
KEYWORD
nonn,easy
AUTHOR
Seiichi Manyama, Oct 10 2021
STATUS
approved

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Last modified March 29 10:44 EDT 2024. Contains 371268 sequences. (Running on oeis4.)