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Search: id:A005997
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| A005997 |
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Number of paraffins.
(Formerly M2832)
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+0
6
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| 1, 3, 10, 20, 39, 63, 100, 144, 205, 275, 366, 468, 595, 735, 904, 1088, 1305, 1539, 1810, 2100, 2431, 2783, 3180, 3600, 4069, 4563, 5110, 5684, 6315, 6975, 7696, 8448, 9265, 10115, 11034, 11988, 13015
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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S. M. Losanitsch, Die Isomerie-Arten bei den Homologen der Paraffin-Reihe, Chem. Ber. 30 (1897), 1917-1926.
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FORMULA
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G.f.: (x^3+3*x^2+x+1)/(-1+x)^2/(-1+x^2)^2.
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MAPLE
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(Maple) a := n -> (Matrix([[0, 0, -1, -5, -12, -26]]).Matrix(6, (i, j)-> if (i=j-1) then 1 elif j=1 then [2, 1, -4, 1, 2, -1][i] else 0 fi)^n)[1, 1]; seq (a(n), n=1..37); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 31 2008]
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CROSSREFS
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Adjacent sequences: A005994 A005995 A005996 this_sequence A005998 A005999 A006000
Sequence in context: A056789 A098645 A089693 this_sequence A081205 A092305 A073604
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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