A085470 Triangle of coefficients of powers of e^2 in numerators of Sum_{k>=1} {1 / (1 + k^2*Pi^2)^n}.

2, -1, 8, -3, -5, 41, -31, 11, -33, 286, -344, 250, -63, -279, 2577, -4418, 4822, -2423, 489, -2895, 28624, -64891, 93624, -70501, 28504, -4785, -35685, 378317, -1073889, 1916161, -1925999, 1169751, -392971, 56475, -509985, 5795682, -19792118, 41973586

Offset

1,1

Links

Table of n, a(n) for n=1..38.

Eric Weisstein's World of Mathematics, Series.

Example

{2, -3 + 8*e^2 - e^4, 11 - 31*e^2 + 41*e^4 - 5*e^6, ...}.
So triangle begins:
  2;
 -1,  8,  -3;
 -5, 41, -31, 11;
 ...

Crossrefs

Sequence in context: A346453 A258243 A258247 * A200584 A099379 A256046

Adjacent sequences: A085467 A085468 A085469 * A085471 A085472 A085473

Keyword

sign,tabf

Author

Eric W. Weisstein, Jul 01 2003

Status

approved