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A123022 a(n)=n!*b(n) where b(0)=b(1)=1, b(n)=(n-4)b(n-2)/[n(n-1)] for n>=2. +0
1
1, 1, -2, -1, 0, -1, 0, -3, 0, -15, 0, -105, 0, -945, 0, -10395, 0, -135135, 0, -2027025, 0, -34459425, 0, -654729075, 0, -13749310575, 0, -316234143225, 0, -7905853580625, 0, -213458046676875, 0, -6190283353629375, 0, -191898783962510625, 0, -6332659870762850625, 0 (list; graph; listen)
OFFSET

0,3

REFERENCES

Richard Bronson, Schaum's Outline of Modern Introductory Differential Equations, MacGraw-Hill, New York,1973, page 99, solved problem 19.1.

MAPLE

b[0]:=1: b[1]:=1: for n from 2 to 40 do b[n]:=(n-4)*b[n-2]/n/(n-1) od: seq(n!*b[n], n=0..40);

MATHEMATICA

a[n_] := a[n] = (n - 4)*a[n - 2]/(n*(n - 1)); a[0] = 1; a[1] = 1; Table[a[n]*n!, {n, 0, 30}]

CROSSREFS

Sequence in context: A158461 A144152 A116675 this_sequence A072943 A072175 A092147

Adjacent sequences: A123019 A123020 A123021 this_sequence A123023 A123024 A123025

KEYWORD

sign

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 24 2006

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com), Oct 01 2006 and Nov 24 2006

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.


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