A090408 a(n) = Sum_{k=0..n} binomial(4n+3,4k).

1, 36, 496, 8256, 130816, 2098176, 33550336, 536887296, 8589869056, 137439215616, 2199022206976, 35184376283136, 562949936644096, 9007199321849856, 144115187807420416, 2305843010287435776, 36893488143124135936, 590295810375885520896, 9444732965670570950656

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (12,64).

Formula

a(n) = 2^(1+4*n) - (-1)^n*4^n. - R. J. Mathar, Nov 27 2014

Mathematica

Table[Sum[Binomial[4n+3, 4k], {k, 0, n}], {n, 0, 20}] (* Harvey P. Dale, Feb 12 2020 *)

Crossrefs

Cf. A070775, A001025, A090407, A038503.

Sequence in context: A323549 A128986 A281371 * A268635 A233101 A183616

Adjacent sequences: A090405 A090406 A090407 * A090409 A090410 A090411

Keyword

easy,nonn

Author

Paul Barry, Nov 29 2003

Status

approved