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A205550 Symmetric matrix by antidiagonals: C(max(g(i),g(j)),min(g(i),g(j)), where g(k)=2k-1. 0
1, 3, 3, 5, 1, 5, 7, 10, 10, 7, 9, 35, 1, 35, 9, 11, 84, 21, 21, 84, 11, 13, 165, 126, 1, 126, 165, 13, 15, 286, 462, 36, 36, 462, 286, 15, 17, 455, 1287, 330, 1, 330, 1287, 455, 17, 19, 680, 3003, 1716, 55, 55, 1716, 3003, 680, 19, 21, 969, 6188, 6435, 715 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..60.

EXAMPLE

Northwest corner:

1....3....5....7....9....11

3....1....10...35...84...165

5....10...1....21...126..462

7....35...21...1....36...330

MATHEMATICA

g[k_] := 2 k - 1;

f[i_, j_] := Binomial[Max[g[i], g[j]], Min[g[i], g[j]]]

TableForm[Table[f[i, j], {i, 1, 10}, {j, 1, 10}]]

Flatten[Table[f[i, n + 1 - i], {n, 1, 14}, {i, 1, n}]]

CROSSREFS

Cf. A205456.

Sequence in context: A240594 A079887 A131843 * A209389 A337544 A105104

Adjacent sequences:  A205547 A205548 A205549 * A205551 A205552 A205553

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Jan 28 2012

STATUS

approved

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Last modified December 4 08:57 EST 2021. Contains 349484 sequences. (Running on oeis4.)