A089816 a(n) = floor((n+3)^(n+2)/((n+3)^2-1)).

1, 4, 26, 222, 2451, 33288, 538084, 10101010, 216145205, 5195862732, 138679078110, 4070332170534, 130325562613351, 4521260802379792, 168962471790509960, 6767528048726614650, 289242639716420115369, 13140050125313283208020, 632314612379435337811810, 32131364329401426444254350

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..385

Formula

a(n) ~ exp(3 + 3/(2*n)) * n^n. - Amiram Eldar, Feb 05 2026

Mathematica

Table[Floor[(n + 3)^(n + 2)/((n + 3)^2 - 1)], {n, 0, 50}] (* G. C. Greubel, Oct 11 2017 *)

Prog

(PARI) for(n=0, 25, print1(floor((n+3)^(n+2)/((n+3)^2-1)), ", ")) \\ G. C. Greubel, Oct 11 2017
(Magma) [Floor((n+3)^(n+2)/((n+3)^2-1)): n in [0..25]]; // G. C. Greubel, Oct 11 2017

Crossrefs

Cf. A000975, A033113-A033119, A059848, A062864, A056830.

Sequence in context: A219780 A259902 A381910 * A371539 A245768 A152407

Adjacent sequences: A089813 A089814 A089815 * A089817 A089818 A089819

Keyword

nonn

Author

Paul Barry, Nov 12 2003

Status

approved