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A059217 The array in A059216 read by antidiagonals in 'up' direction. 8
1, 1, 2, 5, 3, 1, 1, 6, 10, 14, 45, 37, 26, 15, 1, 1, 46, 84, 121, 150, 169, 740, 686, 592, 471, 321, 170, 1, 1, 741, 1428, 2111, 2704, 3183, 3532, 3721, 21142, 20347, 18826, 16685, 13953, 10777, 7255, 3722, 1, 1, 21143, 41491, 61798, 80598 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened

EXAMPLE

The array begins

   1  2  1 14  1 ...

   1  3 10 15 ...

   5  6 26 ...

   1 37 ...

  45 ...

MAPLE

See A059216 for Maple code.

MATHEMATICA

max = 9; t[0, 0] = 1; t[0, _?EvenQ] = 1; t[_?OddQ, 0] = 1; t[n_, k_] /; OddQ[n + k](*up*):= t[n, k] = t[n+1, k-1] + Sum[t[n, j], {j, 0, k-1}]; t[n_, k_] /; EvenQ[n + k](*down*):= t[n, k] = t[n-1, k+1] + Sum[t[j, k], {j, 0, n-1}]; Table[t[n-k, k], {n, 0, max}, {k, 0, n}] // Flatten (* Jean-Fran├žois Alcover, Sep 16 2013 *)

CROSSREFS

Cf. A000667, A059216, A059219, A059220, A059234.

Sequence in context: A326953 A234255 A062706 * A021802 A304174 A011192

Adjacent sequences:  A059214 A059215 A059216 * A059218 A059219 A059220

KEYWORD

easy,nonn,tabl,nice

AUTHOR

Floor van Lamoen, Jan 18 2001

STATUS

approved

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Last modified May 30 18:38 EDT 2020. Contains 334728 sequences. (Running on oeis4.)