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A226391 a(n) = Sum_{k=0..n} binomial(k*n, k). 4
1, 2, 9, 103, 2073, 58481, 2101813, 91492906, 4671050401, 273437232283, 18046800575211, 1325445408799007, 107200425419863009, 9466283137384124247, 906151826270369213655, 93459630239922214535911, 10331984296666203358431361, 1218745075041575200343722415 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..100

FORMULA

a(n) ~ binomial(n^2, n).

MATHEMATICA

Table[Sum[Binomial[k*n, k], {k, 0, n}], {n, 0, 20}]

PROG

(Maxima) A226391(n):=sum(binomial(k*n, k), k, 0, n); makelist(A226391(n), n, 0, 10); /* Martin Ettl, Jun 06 2013 */

CROSSREFS

Cf. A096131, A167008, A167010, A072034, A086331.

Sequence in context: A013520 A041239 A098610 * A125815 A132494 A136172

Adjacent sequences:  A226388 A226389 A226390 * A226392 A226393 A226394

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Jun 06 2013

STATUS

approved

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Last modified May 25 08:26 EDT 2020. Contains 334585 sequences. (Running on oeis4.)