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A154596 Binomial like transform using A142458; a(n) = Sum[A142458(n, k)*a(n - k), {k, 1, n}]. 0
1, 1, 2, 11, 129, 3214, 162491, 16306117, 3231430542, 1254563121783, 953359099059949, 1417753660258148022, 4128222097278496550683, 23571703478682225135264061, 264268834213603744830353397238 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..14.

FORMULA

a(n) = Sum[A142458(n, k)*a(n - k), {k, 1, n}].

MATHEMATICA

Clear[A, a, b, c, d, n, k, i, m, n]; A[n_, 1] := 1; A[n_, n_] := 1;

A[n_, k_] := (3*n - 3*k + 1)A[n - 1, k - 1] + (3*k - 2)A[n - 1, k];

a[0] = 1; a[n_] := a[n] = Sum[A[n, k]*a[n - k], {k, 1, n}];

Table[a[n], {n, 0, 20}]

CROSSREFS

A142458, A000670

Sequence in context: A104087 A208858 A283537 * A066382 A276030 A282855

Adjacent sequences:  A154593 A154594 A154595 * A154597 A154598 A154599

KEYWORD

nonn

AUTHOR

Roger L. Bagula and Gary W. Adamson, Jan 12 2009

STATUS

approved

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Last modified May 25 21:46 EDT 2020. Contains 334597 sequences. (Running on oeis4.)