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A083075
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Square array read by antidiagonals: T(n,k) = (k*(2*k+3)^n+1)/(k+1).
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10
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1, 1, 1, 1, 3, 1, 1, 5, 13, 1, 1, 7, 33, 63, 1, 1, 9, 61, 229, 313, 1, 1, 11, 97, 547, 1601, 1563, 1, 1, 13, 141, 1065, 4921, 11205, 7813, 1, 1, 15, 193, 1831, 11713, 44287, 78433, 39063, 1, 1, 17, 253, 2893, 23801, 128841, 398581, 549029, 195313, 1, 1, 19, 321
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Rows include A034478, A083076, A066443, A083077, A083078. Columns include odds, A082109, A083079. Diagonals include A083079, A083080, A083081, A083082.
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LINKS
| Nathaniel Johnston, Antidiagonals 0..100, flattened
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EXAMPLE
| Array begins:
1 1 1 1 1 ...
1 3 13 63 313 ...
1 5 33 229 1601 ...
1 7 61 547 4921 ...
1 9 97 1065 11713 ...
...
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MAPLE
| T := proc(n, k) return (k*(2*k+3)^n+1)/(k+1): end: seq(seq(T(k, n-k), k=0..n), n=0..10); # Nathaniel Johnston, Jun 26 2011
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CROSSREFS
| Sequence in context: A201588 A086385 A123162 * A195892 A195522 A069972
Adjacent sequences: A083072 A083073 A083074 * A083076 A083077 A083078
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 23 2003
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