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A351935 Expansion of e.g.f. exp(x / (1 - x^4/24)). 3
1, 1, 1, 1, 1, 6, 31, 106, 281, 1261, 10711, 71611, 350461, 1808236, 17037021, 170285116, 1293714241, 8653175441, 84433291741, 1063629264781, 11218379358721, 97926941650546, 1021280770603171, 14623420493573046, 197153396050112041, 2190425085571083901 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..25.

FORMULA

a(n) = Sum_{k=0..floor((n-1)/4)} (4*k+1)!/24^k * binomial(n-1,4*k) * a(n-1-4*k) for n > 4.

MATHEMATICA

m = 25; Range[0, m]! * CoefficientList[Series[Exp[x/(1 - x^4/24)], {x, 0, m}], x] (* Amiram Eldar, Feb 26 2022 *)

PROG

(PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(x/(1-x^4/24))))

(PARI) a(n) = if(n<5, 1, sum(k=0, (n-1)\4, (4*k+1)!/24^k*binomial(n-1, 4*k)*a(n-1-4*k)));

CROSSREFS

Cf. A000262, A351933, A351934, A351936.

Cf. A275423.

Sequence in context: A024447 A303172 A143568 * A337574 A166786 A003728

Adjacent sequences:  A351932 A351933 A351934 * A351936 A351937 A351938

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Feb 26 2022

STATUS

approved

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Last modified July 4 12:28 EDT 2022. Contains 355075 sequences. (Running on oeis4.)