A100510 Bisection of A005425.

2, 14, 142, 1850, 29186, 538078, 11317646, 266906858, 6965034370, 199037675054, 6176578272782, 206703355298074, 7416522514174082, 283886725100730110, 11542917975992870926, 496687811705758019018, 22543169666612417313026

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..390

Formula

a(n) = (-i/sqrt(2))^(2*n+1)*hermite(2*n+1, i*sqrt(2)). - G. C. Greubel, Apr 01 2023

Mathematica

Table[(-I/Sqrt[2])^(2*n+1)*HermiteH[2*n+1, I*Sqrt[2]], {n, 0, 40}] (* G. C. Greubel, Apr 01 2023 *)

Prog

(Magma) [n le 2 select 2*(6*n-5) else (4*n-1)*Self(n-1) - 2*(n-2)*(2*n-3)*Self(n-2): n in [1..40]]; // G. C. Greubel, Apr 01 2023
(SageMath) [(-i/sqrt(2))^(2*n+1)*hermite(2*n+1, i*sqrt(2)) for n in range(41)] # G. C. Greubel, Apr 01 2023

Crossrefs

Cf. A005425, A093620.

Sequence in context: A328004 A361638 A271564 * A354290 A346433 A354286

Adjacent sequences: A100507 A100508 A100509 * A100511 A100512 A100513

Keyword

nonn,easy

Author

N. J. A. Sloane, Nov 24 2004

Extensions

More terms from Hugo Pfoertner, Nov 25 2004

Status

approved