Search: id:A007585
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%I A007585 M4791
%S A007585 0,1,11,38,90,175,301,476,708,1005,1375,1826,2366,3003,3745,
%T A007585 4600,5576,6681,7923,9310,10850,12551,14421,16468,18700,21125,
%U A007585 23751,26586,29638,32915,36425,40176,44176,48433,52955,57750
%N A007585 10-gonal (or decagonal) pyramidal numbers: n(n+1)(8n-5)/6.
%C A007585 Binomial transform of [1, 10, 17, 8, 0, 0, 0,...] = (1, 11, 38, 90,...). 
               [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 18 2009]
%D A007585 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A007585 A. H. Beiler, Recreations in the Theory of Numbers, Dover, NY, 1964, 
               p. 194.
%F A007585 a(n)= (8*n-5)*binomial(n+1, 2)/3. G.f.: x*(1+7*x)/(1-x)^4.
%Y A007585 Cf. A001107.
%Y A007585 Cf. A093565 ((8, 1) Pascal, column m=3). Partial sums of A001107.
%Y A007585 Sequence in context: A139276 A010002 A143109 this_sequence A024202 A133258 
               A103738
%Y A007585 Adjacent sequences: A007582 A007583 A007584 this_sequence A007586 A007587 
               A007588
%K A007585 nonn,easy,nice
%O A007585 0,3
%A A007585 N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy.

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