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A005996 Number of paraffins.
(Formerly M1609)
+0
2
2, 6, 16, 30, 54, 84, 128, 180, 250, 330, 432, 546, 686, 840, 1024, 1224, 1458, 1710, 2000, 2310, 2662, 3036, 3456, 3900, 4394, 4914, 5488, 6090, 6750, 7440, 8192, 8976, 9826, 10710, 11664, 12654, 13718 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

S. M. Losanitsch, Die Isomerie-Arten bei den Homologen der Paraffin-Reihe, Chem. Ber. 30 (1897), 1917-1926.

FORMULA

G.f.: 2*(x^2+x+1)/(-1+x)^2/(-1+x^2)^2.

a(n) = 2*(A006918(n) + A006918(n-1) + A006918(n-2)), n>1. - Ralf Stephan, Apr 26 2003

CROSSREFS

Sequence in context: A082374 A085226 A071522 this_sequence A032091 A060354 A140131

Adjacent sequences: A005993 A005994 A005995 this_sequence A005997 A005998 A005999

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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