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Search: id:A072024
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| A072024 |
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Table by antidiagonals of T(n,k)=((n+1)^k-(-n)^k)/(2n+1). |
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3
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| 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 3, 1, 1, 0, 1, 5, 7, 1, 1, 0, 1, 11, 13, 13, 1, 1, 0, 1, 21, 55, 25, 21, 1, 1, 0, 1, 43, 133, 181, 41, 31, 1, 1, 0, 1, 85, 463, 481, 461, 61, 43, 1, 1, 0, 1, 171, 1261, 2653, 1281, 991, 85, 57, 1, 1, 0, 1, 341, 4039, 8425, 10501, 2821, 1891, 113, 73
(list; table; graph; listen)
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OFFSET
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0,12
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FORMULA
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T(n, k) =T(n, k-1)+n*(n+1)*T(n, k-2) =A060959(A002378(n), k). T(k, 2n)=(2n+1)*A047969(n, k+1).
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EXAMPLE
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Rows start 0,1,1,1,1,1,1,...; 0,1,1,3,5,11,21,...; 0,1,1,7,13,55,133,...; 0,1,1,13,25,181,481,...; 0,1,1,21,41,461,1281,...; etc.
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CROSSREFS
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Rows include A057427, A001045, A015441, A053404, A053428, A053430, A065874, etc. Columns include A000004, A000012, A000012, A002061, A001844, A072025, etc.
Sequence in context: A122776 A062172 A088205 this_sequence A011354 A085565 A058395
Adjacent sequences: A072021 A072022 A072023 this_sequence A072025 A072026 A072027
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KEYWORD
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nonn,tabl
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Jun 06 2002
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