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 A318257 Triangle read by rows, expansion of the e.g.f. given below related to partitions of {1,2,...,5n} into sets of size 5, nonzero coefficients of z. 0
 1, 0, 1, 0, 1, 126, 0, 1, 3003, 126126, 0, 1, 107882, 23279256, 488864376, 0, 1, 3321890, 5319906900, 412275623760, 5194672859376, 0, 1, 107746281, 1394769716340, 369277150181940, 14687937509885640, 123378675083039376 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Table of n, a(n) for n=0..27. EXAMPLE [0] [1] [1] [0, 1] [2] [0, 1, 126] [3] [0, 1, 3003, 126126] [4] [0, 1, 107882, 23279256, 488864376] [5] [0, 1, 3321890, 5319906900, 412275623760, 5194672859376] MAPLE CL := p -> PolynomialTools:-CoefficientList(p, x): FL := p -> ListTools:-Flatten(p): f := z -> (1/5)*(exp(z)+2*(+exp(1/4*z*(5^(1/2)-1))*cos(1/4*z*2^(1/2)* (5+5^(1/2))^(1/2))+exp(-1/4*z*(5^(1/2)+1))*cos(1/4*z*2^(1/2)*(5-5^(1/2))^(1/2)))): gf := exp(x*(f(z)-1)): ser := series(gf, z, 48): FL([seq(CL(sort(expand((5*n)!*coeff(ser, z, n*5)), [x], ascending)), n=0..7)]); CROSSREFS Cf. A048993 (m=1), A156289 (m=2), A291451 (m=3), A291452 (m=4), this seq (m=5). Sequence in context: A048563 A239060 A365898 * A110825 A365897 A050451 Adjacent sequences: A318254 A318255 A318256 * A318258 A318259 A318260 KEYWORD nonn,tabl AUTHOR Peter Luschny, Aug 22 2018 STATUS approved

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Last modified June 16 16:46 EDT 2024. Contains 373432 sequences. (Running on oeis4.)