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Search: id:A133824
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| A133824 |
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Triangle whose rows are sequences of increasing and decreasing fourth powers: 1; 1,16,1; 1,16,81,16,1; ... . |
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+0
4
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| 1, 1, 16, 1, 1, 16, 81, 16, 1, 1, 16, 81, 256, 81, 16, 1, 1, 16, 81, 256, 625, 256, 81, 16, 1, 1, 16, 81, 256, 625, 1296, 625, 256, 81, 16, 1, 1, 16, 81, 256, 625, 1296, 2401, 1296, 625, 256, 81, 16, 1, 1, 16, 81, 256, 625, 1296, 2401, 4096, 2401, 1296, 625, 256, 81, 16
(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 1,1,16,1,1,16,81,16,1,..., analogous to the Smarandache crescendo pyramidal sequence A004737.
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FORMULA
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O.g.f.: (1+qx)(1+11qx+11q^2x^2+q^3x^3)/((1-x)(1-qx)^4(1-q^2x)) = 1 + x(1 + 16q + q^2) + x^2(1 + 16q + 81q^2 + 16q^3 + q^4) + ... . Cf. 4-th row of A008292.
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EXAMPLE
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Triangle starts
1;
1, 16, 1;
1, 16, 81, 16, 1;
1, 16, 81, 256, 81, 16, 1;
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CROSSREFS
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Cf. A004737, A061803 (row sums), A133821, A124258, A133823.
Sequence in context: A040258 A040257 A040256 this_sequence A141697 A142462 A022179
Adjacent sequences: A133821 A133822 A133823 this_sequence A133825 A133826 A133827
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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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