A138912 - OEIS

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A138912

Inverse binomial transform of A138911.

1, 1, 2, 9, 28, 145, 726, 4249, 27000, 186561, 1387450, 11034001, 93295236, 834720913, 7870851366, 77943848025, 808159323376, 8749874083585, 98687599614450, 1157060036429857, 14075106913366140, 177337182574590801 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	COMMENTS	`The n-th term of the n-th inverse binomial transform of A138911 is 1 for n>=0.`
	LINKS	`Table of n, a(n) for n=0..21.`
	FORMULA	`O.g.f. satisfies: [x^n] A( x/(1+(n-1)x) )/(1+(n-1)x) = 1 for n>=0.` `E.g.f. satisfies: [x^n] A(x)exp(-(n-1)x) = 1/n! for n>=0.`
	PROG	`(PARI) {a(n)=local(A=[1]); for(k=1, n, A=concat(A, 0); A[k+1]=1-polcoeff(subst(Ser(A), x, x/(1+(k-1)x+xO(x^k)))/(1+(k-1)*x), k)); A[n+1]}`
	CROSSREFS	`Cf. A138911 (binomial transform).` `Sequence in context: A291632 A328281 A324372 * A002747 A110377 A338436` `Adjacent sequences: A138909 A138910 A138911 * A138913 A138914 A138915`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna, Apr 05 2008`
	STATUS	`approved`

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Last modified August 10 03:38 EDT 2022. Contains 356029 sequences. (Running on oeis4.)