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A274190 Triangular array read by rows: g(n,k) = 1 for n >= 0; g(n,k) = 0 if k > n; g(n,k) = g(n-1,k-1) + g(n-1,2k) for n > 0, k > 1. 6
1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 3, 3, 2, 1, 1, 1, 4, 4, 3, 2, 1, 1, 1, 5, 6, 5, 3, 2, 1, 1, 1, 7, 8, 7, 5, 3, 2, 1, 1, 1, 9, 12, 10, 8, 5, 3, 2, 1, 1, 1, 13, 17, 15, 11, 8, 5, 3, 2, 1, 1, 1, 18, 24, 22, 17, 12, 8, 5, 3, 2, 1, 1, 1, 25, 35, 32 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..10000

EXAMPLE

First  10 rows:

1

1   1

1   1   1

1   2   1   1

1   2   2   1   1

1   3   3   2   1   1

1   4   4   3   2   1   1

1   5   6   5   3   2   1   1

1   7   8   7   5   3   2   1   1

1   9   12  10  8   5   3   2   1

MATHEMATICA

g[n_, 0] = g[n, 0] = 1;

g[n_, k_] := g[n, k] = If[k > n, 0, g[n - 1, k - 1] + g[n - 1, 2 k]];

t = Table[g[n, k], {n, 0, 14}, {k, 0, n}]

TableForm[t] (* A274190 array *)

u = Flatten[t] (* A274190 sequence *)

CROSSREFS

Cf. A274184 (row sums), A274192, A274199 (limiting reverse row), A274193, A274196.

Sequence in context: A114088 A208245 A309049 * A322596 A037306 A194799

Adjacent sequences:  A274187 A274188 A274189 * A274191 A274192 A274193

KEYWORD

nonn,tabl,easy

AUTHOR

Clark Kimberling, Jun 13 2016

STATUS

approved

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Last modified September 28 11:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)