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A306154 Inverse Weigh transform of (-n)^n. 2
-1, 3, -23, 226, -2800, 42576, -763220, 15734614, -366715248, 9533817400, -273549419552, 8586984284446, -292755986184548, 10772849583399474, -425587711650564816, 17966217347001535764, -807152054953801845760, 38451365602113352159320, -1936082850634342992601636 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
N. J. A. Sloane, Transforms
EXAMPLE
(1+x)^(-1)*(1+x^2)^3*(1+x^3)^(-23)*(1+x^4)^226* ... = 1 - x + 4*x^2 - 27*x^3 + 256*x^4 - ... .
MAPLE
b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
add(binomial(a(i), j)*b(n-i*j, i-1), j=0..n/i)))
end:
a:= n-> (-n)^n-b(n, n-1):
seq(a(n), n=1..24); # Alois P. Heinz, Jun 23 2018
CROSSREFS
Sequence in context: A093162 A328808 A206763 * A201205 A068954 A068955
KEYWORD
sign
AUTHOR
Seiichi Manyama, Jun 23 2018
STATUS
approved

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Last modified August 29 13:45 EDT 2024. Contains 375517 sequences. (Running on oeis4.)