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Search: id:A091533
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| A091533 |
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Triangle read by rows, related to Pascal's triangle. |
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+0
2
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| 1, 1, 1, 2, 3, 2, 3, 7, 7, 3, 5, 15, 21, 15, 5, 8, 30, 53, 53, 30, 8, 13, 58, 124, 157, 124, 58, 13, 21, 109, 273, 417, 417, 273, 109, 21, 34, 201, 577, 1029, 1239, 1029, 577, 201, 34, 55, 365, 1181, 2405, 3375, 3375, 2405, 1181, 365, 55, 89, 655, 2358, 5393, 8625
(list; table; graph; listen)
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OFFSET
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0,4
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FORMULA
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T(n, k) = T(n-1, k) + T(n-1, k-1) + T(n-2, k) + T(n-2, k-1) + T(n-2, j-2) for n >= 2, k >= 0, with initial conditions specified by first two rows.
G.f. A(x, y) = 1/(1-x-x*y-x^2-x^2*y-x^2*y^2).
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EXAMPLE
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1; 1,1; 2,3,2; 3,7,7,3; 5,15,21,15,5; ...
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CROSSREFS
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Row sums: A015518(n+1). Columns 0-1: A000045(n+1), A023610(n-1).
Cf. A090174.
Sequence in context: A038063 A085204 A055375 this_sequence A055376 A085215 A076731
Adjacent sequences: A091530 A091531 A091532 this_sequence A091534 A091535 A091536
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Christian G. Bower (bowerc(AT)usa.net), Jan 19 2004
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