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A154425 Maximal or central term of A142458: A(n,k)=(3*n - 3*k + 1)A(n - 1, k - 1) + (3*k - 2)A(n - 1, k); a(n)=A[n,1+Floor[n/2]]=Max[Table[A(n, k), {k, 1, n}]]. 0
1, 1, 8, 39, 546, 5482, 109640, 1709675, 44451550, 947113254, 30307624128, 821539580358, 31218504053604, 1028949571999572, 45273781167981168, 1758747856988046771, 87937392849402338550, 3935893923685215214030 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

FORMULA

A(n,k)=(3*n - 3*k + 1)A(n - 1, k - 1) + (3*k - 2)A(n - 1, k);

a(n)=A[n,1+Floor[n/2]]=Max[Table[A(n, k), {k, 1, n}]].

MATHEMATICA

Clear[A]; 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];

Table[A[n, 1 + Floor[n/2]], {n, 1, 20}]

Table[Max[Table[A[n, k], {k, 1, n}]], {n, 1, 20}]

CROSSREFS

A142458

Sequence in context: A045909 A264091 A319362 * A120931 A213345 A207360

Adjacent sequences:  A154422 A154423 A154424 * A154426 A154427 A154428

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula, Jan 09 2009

STATUS

approved

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Last modified January 16 15:31 EST 2019. Contains 319195 sequences. (Running on oeis4.)