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Search: id:A135703
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| A135703 |
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5*n + 14*binomial(n,2). |
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+0
1
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| 0, 5, 24, 57, 104, 165, 240, 329, 432, 549, 680, 825, 984, 1157, 1344, 1545, 1760, 1989, 2232, 2489, 2760, 3045, 3344, 3657, 3984, 4325, 4680, 5049, 5432, 5829, 6240, 6665, 7104, 7557, 8024, 8505, 9000, 9509, 10032, 10569, 11120, 11685, 12264, 12857, 13464
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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L. Hogben, Choice and Chance by Cardpack and Chessboard. Vol. 1, Chanticleer Press, NY, 1950, p. 36.
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FORMULA
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O.g.f. -x*(5+9*x)/(-1+x)^3. a(n)= 3a(n-1)-3a(n-2)+a(n-3) = n(7n-2). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 21 2008
a(n)=14*n+a(n-1)-23 (with a(1)=0) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]
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EXAMPLE
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For n=2, a(2)=14*2+0-23=5; n=3, a(3)=14*3+5-23=24; n=4, a(4)=14*4+24-23=57 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Nov 13 2009]
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MATHEMATICA
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s=0; lst={s}; Do[s+=n++ +5; AppendTo[lst, s], {n, 0, 7!, 14}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 16 2008]
Array[ #*(7*# - 2) &, 45, 0] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 10 2009]
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CROSSREFS
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Sequence in context: A006145 A085646 A121546 this_sequence A101147 A006328 A000347
Adjacent sequences: A135700 A135701 A135702 this_sequence A135704 A135705 A135706
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 04 2008
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