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Search: id:A133821
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| A133821 |
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Triangle whose rows are sequences of increasing fourth powers: 1; 1,16; 1,16,81; ... . |
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+0
3
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| 1, 1, 16, 1, 16, 81, 1, 16, 81, 256, 1, 16, 81, 256, 625, 1, 16, 81, 256, 625, 1296, 1, 16, 81, 256, 625, 1296, 2401, 1, 16, 81, 256, 625, 1296, 2401, 4096, 1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 1, 16, 81, 256, 625, 1296, 2401, 4096, 6561, 10000
(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 1,1,16,1,16,81,1,16,81,256,..., analogous to the Smarandache crescendo sequence A002260.
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FORMULA
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O.g.f.: (1+11qx+11q^2x^2+q^3x^3)/((1-x)(1-qx)^5) = 1 + x(1 + 16q) + x^2(1 + 16q + 81q^2) + ... . Cf. 4-th row of A008292.
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EXAMPLE
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Triangle starts
1;
1, 16;
1, 16; 81;
1, 16, 81, 256;
1, 16, 81, 256, 625;
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CROSSREFS
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Cf. A000538 (row sums), A002260, A133819, A133820, A133824.
Sequence in context: A040270 A070539 A070583 this_sequence A002651 A097522 A040271
Adjacent sequences: A133818 A133819 A133820 this_sequence A133822 A133823 A133824
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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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