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A083075 Square array read by antidiagonals: T(n,k) = (k*(2*k+3)^n + 1)/(k+1). 10
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; text; internal format)
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: A123162 A213998 A294946 * A335333 A293796 A195892

Adjacent sequences:  A083072 A083073 A083074 * A083076 A083077 A083078

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Apr 23 2003

STATUS

approved

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Last modified July 10 15:45 EDT 2020. Contains 335577 sequences. (Running on oeis4.)