A291091 a(n) = A214938(2n+1).

1, 2, 7, 28, 122, 562, 2693, 13288, 67064, 344588, 1796518, 9479780, 50532640, 271710662, 1471935235, 8026070768, 44015873308, 242619318848, 1343427572648, 7469219870968, 41680871386016, 233373274580372, 1310659959443722, 7381448319246248, 41678055955034962

Offset

0,2

Comments

The first terms (approximately) equal the first nonzero term of the continued fraction of f(n) = Product_{k=1..n} sqrt(k+1)-sqrt(k), i.e., [1/f(n)] = 1, 2, 7, 28, 120, 562, 2866, 15693, ... - M. F. Hasler, Jun 15 2026

Links

Lars Blomberg, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A214938, A291090.

Sequence in context: A150661 A269228 A005435 * A380681 A215973 A143927

Adjacent sequences: A291088 A291089 A291090 * A291092 A291093 A291094

Keyword

nonn,changed

Author

N. J. A. Sloane, Aug 19 2017

Extensions

a(17)-a(24) from Lars Blomberg, Aug 20 2017

Status

approved