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A006001 Number of paraffins.
(Formerly M3385)
1
1, 4, 10, 22, 43, 76, 124, 190, 277, 388, 526, 694, 895, 1132, 1408, 1726, 2089, 2500, 2962, 3478, 4051, 4684, 5380, 6142, 6973, 7876, 8854, 9910, 11047, 12268, 13576, 14974, 16465, 18052, 19738, 21526 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
REFERENCES
S. M. Losanitsch, Die Isomerie-Arten bei den Homologen der Paraffin-Reihe, Chem. Ber. 30 (1897), 1917-1926.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
S. M. Losanitsch, Die Isomerie-Arten bei den Homologen der Paraffin-Reihe, Chem. Ber. 30 (1897), 1917-1926. (Annotated scanned copy)
Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992
FORMULA
G.f.: (1 + 2 x^3) / (1 - x)^4.
a(n) = 1 + 5*n/2 + n^3/2. - Enrique Pérez Herrero, Mar 19 2012
MAPLE
A006001:=(1+2*z**3)/(z-1)**4; # conjectured by Simon Plouffe in his 1992 dissertation
CROSSREFS
Sequence in context: A065568 A007825 A008256 * A034357 A023626 A048574
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)