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Search: id:A098697
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| A098697 |
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Euler-Seidel matrix T(k,n) with start sequence A000248, read by antidiagonals. |
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+0
4
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| 1, 2, 1, 6, 4, 3, 23, 17, 13, 10, 104, 81, 64, 51, 41, 537, 433, 352, 288, 237, 196, 3100, 2563, 2130, 1778, 1490, 1253, 1057, 19693, 16593, 14030, 11900, 10122, 8632, 7379, 6322, 136064, 116371, 99778, 85748, 73848, 63726, 55094, 47715, 41393
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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In an Euler-Seidel matrix, the rows are consecutive pairwise sums and the columns consecutive differences, with the first column the inverse binomial transform of the start sequence.
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LINKS
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D. Dumont, Matrices d'Euler-Seidel, Sem. Loth. Comb. B05c (1981) 59-78.
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FORMULA
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Recurrence: T(0, n) = A000248(n), T(k, n) = T(k-1, n) + T(k-1, n+1).
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EXAMPLE
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1,1,3,10,41,196,1057,
2,4,13,51,237,1253,7379,
6,17,64,288,1490,8632,55094,
23,81,352,1778,10122,63726,437810,
104,433,2130,11900,73848,501536,3687056,
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CROSSREFS
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First column is A080108, main diagonal is in A098698.
Sequence in context: A135885 A162312 A141715 this_sequence A021466 A121403 A155550
Adjacent sequences: A098694 A098695 A098696 this_sequence A098698 A098699 A098700
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KEYWORD
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nonn,tabl
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AUTHOR
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Ralf Stephan, Sep 23 2004
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