A167577 The second column of the ED3 array A167572.

1, 11, 83, 741, 8169, 106107, 1592235, 27062325, 514246545, 10798366635, 248374594755, 6209158112325, 167651197407225, 4861802228946075, 150717766502187675, 4973638859450709525, 174078640829054894625

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..150

Formula

a(n) = (1/2)*(-1)^n*(2*n-5)!!*((4*n^2-6*n-2)+(16*n^3-24*n^2-4*n+6)*sum((-1)^(k+n)/ (2*k+1), k=0..n-1)).

Mathematica

Table[(1/2)*(-1)^n*(2*n - 5)!!*((4*n^2 - 6*n - 2) + (16*n^3 - 24*n^2 - 4*n + 6)*Sum[(-1)^(k + n)/(2*k + 1), {k, 0, n - 1}]), {n, 1, 50}] (* G. C. Greubel, Jun 16 2016 *)

Crossrefs

Equals the second column of the ED3 array A167572.

Other columns are A167576 and A167578.

Cf. A007509 and A025547 (the sum((-1)^(k+n)/(2*k+1), k=0..n-1) factor).

Sequence in context: A055369 A016282 A068848 * A129077 A152582 A191003

Adjacent sequences: A167574 A167575 A167576 * A167578 A167579 A167580

Keyword

easy,nonn

Author

Johannes W. Meijer, Nov 10 2009

Status

approved