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A098698 Main diagonal of array in A098697. 1
1, 4, 64, 1778, 73848, 4188592, 306690520, 27893327856, 3063657097664, 397720778283584, 59997757426314624, 10373545999796847232, 2032368096229682220160, 446879795164524710777856 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Diagonal of Euler-Seidel matrix with start sequence A000248.

LINKS

Table of n, a(n) for n=0..13.

FORMULA

a(n) = Sum_{k=0..n} C(n, k) * A000248(2n-k).

MATHEMATICA

a248[0] = 1; a248[n_] := Sum[Binomial[n, k]*(n - k)^k, {k, 0, n}];

T[0, n_] := T[0, n] = a248[n]; T[k_, n_] := T[k, n] = T[k - 1, n] + T[k - 1, n + 1];

a[n_] := T[n, n];

Table[a[n], {n, 0, 13}] (* Jean-Fran├žois Alcover, Nov 08 2017 *)

CROSSREFS

Sequence in context: A263988 A208357 A050636 * A301583 A181398 A326274

Adjacent sequences:  A098695 A098696 A098697 * A098699 A098700 A098701

KEYWORD

nonn

AUTHOR

Ralf Stephan, Sep 23 2004

STATUS

approved

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Last modified December 5 23:39 EST 2019. Contains 329784 sequences. (Running on oeis4.)