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Search: id:A133820
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| A133820 |
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Triangle whose rows are sequences of increasing cubes: 1; 1,8; 1,8,27; ... . |
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+0
3
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| 1, 1, 8, 1, 8, 27, 1, 8, 27, 64, 1, 8, 27, 64, 125, 1, 8, 27, 64, 125, 216, 1, 8, 27, 64, 125, 216, 343, 1, 8, 27, 64, 125, 216, 343, 512, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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Reading the triangle by rows produces the sequence 1,1,8,1,8,27,1,8,27,64,..., analogous to the Smarandache crescendo sequence A002260.
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FORMULA
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O.g.f.: (1+4qx+q^2x^2)/((1-x)(1-qx)^4) = 1 + x(1 + 8q) + x^2(1 + 8q + 27q^2) + ... .
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EXAMPLE
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Triangle starts
1;
1, 8;
1, 8, 27;
1, 8, 27, 64;
1, 8, 27, 64, 125;
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CROSSREFS
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Cf. A000537 (row sums), A002260, A019522, A133819, A133821, A133823.
Sequence in context: A081777 A098367 A141228 this_sequence A019864 A021126 A091557
Adjacent sequences: A133817 A133818 A133819 this_sequence A133821 A133822 A133823
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Peter Bala (pbala(AT)toucansurf.com), Sep 25 2007
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