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Search: id:A122598
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A122598 a[0] = 0; a[1] = 1; if n is odd then a[n] = 2*a[n - 1] - ( n - 1)*a[n - 2] otherwise a[n] = 2*(a[n - 1] - (n - 2)*a[n - 2])]. +0
1
0, 1, 2, 2, -4, -16, 0, 96, 192, -384, -3840, -3840, 69120, 184320, -1290240, -5160960, 25804800, 134184960, -557383680, -3530096640, 13005619200, 96613171200, -326998425600, -2779486617600, 8828957491200, 84365593804800, -255058771968000, -2703622982860800, 7855810176614400 (list; graph; listen)
OFFSET

1,3

REFERENCES

E. S. R. Gopal, Specific Heats at Low Temperatures, Plenum Press, New York, 1966, pages 36-40.

FORMULA

a(n) = If[Mod[n, 2] == 1, 2*a(n - 1) - (n - 1)*a(n - 2), 2*(a(n - 1) - (n - 2)*a(n - 2))]

MATHEMATICA

a[0] = 0; a[1] = 1; a[n_] := a[n] = If[Mod[n, 2] == 1, 2*a[n - 1] - ( n - 1)*a[n - 2], 2*(a[n - 1] - (n - 2)*a[n - 2])] b = Table[a[n], {n, 0, 30}]

CROSSREFS

Cf. A000898, A121966.

Sequence in context: A153968 A153965 A121221 this_sequence A087783 A106241 A153991

Adjacent sequences: A122595 A122596 A122597 this_sequence A122599 A122600 A122601

KEYWORD

sign

AUTHOR

Roger Bagula (rlbagulatftn(AT)yahoo.com), Sep 19 2006

EXTENSIONS

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

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.


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