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 A205553 Square array by antidiagonals: C(max(i-1,2j-2),min(i-1,2j-2)), i>=1, j>=1. 0
 1, 1, 1, 1, 2, 1, 1, 4, 1, 1, 1, 6, 6, 3, 1, 1, 8, 15, 4, 6, 1, 1, 10, 28, 20, 1, 10, 1, 1, 12, 45, 56, 15, 5, 15, 1, 1, 14, 66, 120, 70, 6, 15, 21, 1, 1, 16, 91, 220, 210, 56, 1, 35, 28, 1, 1, 18, 120, 364, 495, 252, 28, 7, 70, 36, 1, 1, 20, 153, 560, 1001, 792, 210, 8 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Milan Janjic, Binomial Coefficients and Enumeration of Restricted Words, Journal of Integer Sequences, 2016, Vol 19, #16.7.3 EXAMPLE Northwest corner: 1....1....1....1....1 1....2....4....6....8 1....1....6....15...28 1....3....4....20...56 1....6....1....15...70 MATHEMATICA f[i_, j_] := Binomial[Max[i - 1, 2 j - 2], Min[i - 1, 2 j - 2]] 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: A340660 A136674 A144383 * A178411 A257598 A294580 Adjacent sequences:  A205550 A205551 A205552 * A205554 A205555 A205556 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Jan 28 2012 STATUS approved

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Last modified January 20 08:54 EST 2022. Contains 350471 sequences. (Running on oeis4.)