[seqfan] Paraffin Numbers

Psychedelic Geometry psychgeometry at gmail.com
Sun Mar 11 10:24:38 CET 2012


The following Mathematica code seems to generate sequence A006009: Number of

A006009[n_] := Sum[(i + 1)*Floor[(i + 1)^2/2], {i, 1, n}];

And if this conjecture is correct then the Alkane (or paraffin) numbers
l(7,n) should be:

A005994[n_] := Sum[(i + 1)*Floor[(i + 1)^2/2], {i, 1, n}]/2 - Binomial[n +
3, 4];

Does anybody knows how to prove o disprove these formulas?

Best Regards, Enrique.

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