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Search: id:A102541
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| A102541 |
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Triangle read by rows, formed from antidiagonals of Losanitsch's triangle, (n >= 0, k >= 0), a(n,k) = A034851(n-k,k). |
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+0
3
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| 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 3, 4, 1, 1, 3, 6, 2, 1, 4, 9, 6, 1, 1, 4, 12, 10, 3, 1, 5, 16, 19, 9, 1, 1, 5, 20, 28, 19, 3, 1, 6, 25, 44, 38, 12, 1, 1, 6, 30, 60, 66, 28, 4, 1, 7, 36, 85, 110, 66, 16, 1, 1, 7, 42, 110, 170, 126, 44, 4, 1, 8, 49, 146, 255, 236, 110, 20, 1, 1, 8, 56
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Row sums are essentially the same as A001224, A060312 and A068928.
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FORMULA
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a(n, k) = A034851(n-k, k) or alternatively a(n, k) = a(n-1, k) + a(n-1, k-2) except when both n and k are odd, in which case a(n, k) = a(n-1, k) + a(n-1, k-2) - C((n-k)/2-1, (k-1)/2)
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CROSSREFS
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Cf. A034851.
Sequence in context: A133188 A008612 A029320 this_sequence A025828 A024165 A023191
Adjacent sequences: A102538 A102539 A102540 this_sequence A102542 A102543 A102544
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KEYWORD
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nonn,tabl
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AUTHOR
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Gerald McGarvey (Gerald.McGarvey(AT)comcast.net), Feb 24 2005
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