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A373526 Expansion of e.g.f. exp(x * (1 + x^4)^(3/4)). 4

%I #19 Jun 10 2024 10:03:42

%S 1,1,1,1,1,91,541,1891,5041,-22679,703081,9397081,59946481,510926131,

%T -1770628859,28435376971,879567081121,1118967005521,133425791669521,

%U -153681150137039,1206979480409761,974131304609110411,-2730300052811686739,68047061689139820211

%N Expansion of e.g.f. exp(x * (1 + x^4)^(3/4)).

%F a(n) = n! * Sum_{k=0..floor(n/4)} binomial(3*n/4-3*k,k)/(n-4*k)!.

%F a(n) == 1 mod 90.

%o (PARI) a(n) = n!*sum(k=0, n\4, binomial(3*n/4-3*k, k)/(n-4*k)!);

%Y Cf. A190877, A373524, A373525.

%Y Cf. A373521.

%K sign

%O 0,6

%A _Seiichi Manyama_, Jun 08 2024

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Last modified August 12 09:11 EDT 2024. Contains 375085 sequences. (Running on oeis4.)