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A281587
Triangle read by rows, e.g.f. exp(x*z)*(2*(exp(z)+1)/(cosh(z)+cos(z))-1).
2
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
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
KEYWORD
sign,tabl
AUTHOR
Peter Luschny, Feb 01 2017
STATUS
approved