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Search: id:A051870
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| 0, 1, 18, 51, 100, 165, 246, 343, 456, 585, 730, 891, 1068, 1261, 1470, 1695, 1936, 2193, 2466, 2755, 3060, 3381, 3718, 4071, 4440, 4825, 5226, 5643, 6076, 6525, 6990, 7471, 7968, 8481, 9010, 9555, 10116, 10693, 11286, 11895, 12520
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Also, sequence found by reading the segment (0, 1) together with the line from 1, in the direction 1, 18,..., in the square spiral whose vertices are the triangular numbers A000217. - Omar E. Pol (info(AT)polprimos.com), Apr 26 2008
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, p. 189.
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LINKS
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O. E. Pol, Determinacion geometrica de los numeros primos y perfectos.
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FORMULA
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a(n)=n(8n-7).
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MAPLE
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a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=2*a[n-1]-a[n-2]+16 od: seq(a[n], n=0..40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 18 2008
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MATHEMATICA
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s=0; lst={s}; Do[s+=n++ +1; AppendTo[lst, s], {n, 0, 6!, 16}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
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CROSSREFS
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Cf. A000217, A014634, A014635, A033585, A033586, A033587, A035008, A069129, A085250, A129271, A129272, A129273, A129274, A129275, A129276, A129277, A129278.
Sequence in context: A074173 A092068 A093520 this_sequence A069130 A124711 A126372
Adjacent sequences: A051867 A051868 A051869 this_sequence A051871 A051872 A051873
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Dec 15 1999
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