A132688 a(n) = binomial(2^n + 3*n, n).

1, 5, 45, 680, 20475, 1533939, 350161812, 280384608504, 847073824772175, 9894081531608130857, 446730013630787463700695, 77328499046923986969058944720, 50891283683781760304442885961988100

Offset: 0

Author

Paul D. Hanna, Aug 26 2007

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..50

Crossrefs

Sequences of the form binomial(2^n +p*n +q, n): A136556 (0,-1), A014070 (0,0), A136505 (0,1), A136506 (0,2), A060690 (1,-1), A132683 (1,0), A132684 (1,1), A132685 (2,0), A132686 (2,1), A132687 (3,-1), this sequence (3,0), A132689 (3,1).

Cf. A136555.

Programs

Magma

[Binomial(2^n +3*n, n): n in [0..20]]; // G. C. Greubel, Mar 13 2021

Mathematica

Table[Binomial[2^n+3n,n],{n,0,20}] (* Harvey P. Dale, Oct 30 2018 *)

PARI

a(n)=binomial(2^n+3*n,n)

Sage

[binomial(2^n +3*n, n) for n in (0..20)] # G. C. Greubel, Mar 13 2021

Formula

a(n) = [x^n] 1/(1-x)^(2^n + 2*n + 1).