A281587 Triangle read by rows, e.g.f. exp(x*z)*(2*(exp(z)+1)/(cosh(z)+cos(z))-1).

1, 1, 1, 1, 2, 1, 1, 3, 3, 1, -1, 4, 6, 4, 1, -4, -5, 10, 10, 5, 1, -14, -24, -15, 20, 15, 6, 1, -34, -98, -84, -35, 35, 21, 7, 1, 69, -272, -392, -224, -70, 56, 28, 8, 1, 496, 621, -1224, -1176, -504, -126, 84, 36, 9, 1, 2896, 4960, 3105, -4080, -2940, -1008, -210, 120, 45, 10, 1

Offset

0,5

Links

Table of n, a(n) for n=0..65.

Example

Triangle starts:
[   1]
[   1,   1]
[   1,   2,   1]
[   1,   3,   3,   1]
[  -1,   4,   6,   4,  1]
[  -4,  -5,  10,  10,  5,  1]
[ -14, -24, -15,  20, 15,  6, 1]
[ -34, -98, -84, -35, 35, 21, 7, 1]

Maple

A281587_row := proc(n) exp(x*z)*(2*(exp(z)+1)/(cosh(z)+cos(z))-1);
n!*coeff(series(%, z, n+1), z, n); PolynomialTools:-CoefficientList(%, x) end:
for n from 0 to 12 do A281587_row(n) od;

Crossrefs

Cf. A130595 (m=1), A109449 (m=2), A215064 (m=3), A281587 (m=4).

Cf. A178964 (col. 0), A281588 (col. 1).

Sequence in context: A203952 A296115 A118687 * A026022 A073714 A171848

Adjacent sequences: A281584 A281585 A281586 * A281588 A281589 A281590

Keyword

sign,tabl

Author

Peter Luschny, Feb 01 2017

Status

approved