A083075 Square array read by antidiagonals: T(n,k) = (k*(2*k+3)^n + 1)/(k+1).

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

Offset

0,5

Links

Nathaniel Johnston, Antidiagonals 0..100, flattened

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 ...
  ...

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

Crossrefs

Rows include A034478, A083076, A066443, A083077, A083078.

Columns include odds, A082109, A083079.

Diagonals include A083079, A083080, A083081, A083082.

Sequence in context: A213998 A340970 A294946 * A335333 A341470 A293796

Adjacent sequences: A083072 A083073 A083074 * A083076 A083077 A083078

Keyword

easy,nonn,tabl

Author

Paul Barry, Apr 23 2003

Status

approved