A136505 - OEIS

This site is supported by donations to The OEIS Foundation.

A136505

a(n) = C(2^n+1,n).

1, 3, 10, 84, 2380, 237336, 82598880, 99949406400, 422825581068000, 6318976181520699840, 337559127276933693852160, 65182103393445184131620004864, 45946437874792132748338425828443136 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	FORMULA	`G.f.: A(x) = Sum_{n>=0} (1 + 2^nx) log(1 + 2^n*x)^n/n!.`
	PROG	`(PARI) {a(n)=polcoeff(sum(i=0, n, (1+2^ix +xO(x^n))log(1+2^ix +x*O(x^n))^i/i!), n)}`
	CROSSREFS	`Cf. A014070 (C(2^n, n)), A136506 (C(2^n+2, n)); A136507.` `Sequence in context: A027159 A203492 A136554 * A006311 A034792 A135457` `Adjacent sequences: A136502 A136503 A136504 * A136506 A136507 A136508`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jan 01 2008`

Content is available under The OEIS End-User License Agreement .

Last modified February 14 15:39 EST 2012. Contains 205635 sequences.