A378152 - OEIS

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A378152

G.f. A(x) satisfies A(x) = 1 + (x * (1+x) * A(x))^4.

1

1, 0, 0, 0, 1, 4, 6, 4, 5, 32, 112, 224, 302, 488, 1564, 4872, 11034, 19664, 37128, 95824, 266659, 635740, 1306682, 2706524, 6503711, 16794992, 40634744, 90066416, 197648134, 465436936, 1152867388, 2790870536, 6434526866, 14640368240, 34415925816, 83509570992

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OFFSET

0,6

LINKS

Table of n, a(n) for n=0..35.

FORMULA

a(n) = Sum_{k=0..floor(n/4)} binomial(4*k,n-4*k) * binomial(4*k,k)/(3*k+1).

PROG

(PARI) a(n) = sum(k=0, n\4, binomial(4*k, n-4*k)*binomial(4*k, k)/(3*k+1));

CROSSREFS

Cf. A000045, A256169, A378151.

Sequence in context: A323016 A261637 A366558 * A091651 A199865 A196818

Adjacent sequences: A378133 A378144 A378151 * A378153 A378154 A378155

KEYWORD

nonn,new

AUTHOR

Seiichi Manyama, Nov 18 2024

STATUS

approved