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A218580 Triangle read by rows: T(n,k) is the number of ascent sequences of length n with first occurrence of the maximal value at position k-1. 5
1, 1, 1, 1, 2, 2, 1, 4, 5, 5, 1, 8, 13, 15, 16, 1, 16, 35, 47, 56, 62, 1, 32, 97, 153, 204, 248, 279, 1, 64, 275, 515, 770, 1030, 1257, 1423, 1, 128, 793, 1785, 3000, 4424, 5869, 7140, 8100, 1, 256, 2315, 6347, 12026, 19582, 28293, 37058, 44843, 50887 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Row sums are A022493.

Second column are powers of 2.

LINKS

Table of n, a(n) for n=1..55.

EXAMPLE

Triangle starts:

[ 1]  1,

[ 2]  1, 1,

[ 3]  1, 2, 2,

[ 4]  1, 4, 5, 5,

[ 5]  1, 8, 13, 15, 16,

[ 6]  1, 16, 35, 47, 56, 62,

[ 7]  1, 32, 97, 153, 204, 248, 279,

[ 8]  1, 64, 275, 515, 770, 1030, 1257, 1423,

[ 9]  1, 128, 793, 1785, 3000, 4424, 5869, 7140, 8100,

[10]  1, 256, 2315, 6347, 12026, 19582, 28293, 37058, 44843, 50887,

...

CROSSREFS

Cf. A022493 (number of ascent sequences).

Cf. A218579 (ascent sequences with last zero at position k-1), A218581 (ascent sequences with last occurrence of the maximal value at position k-1).

Cf. A137251 (ascent sequences with k ascents), A218577 (ascent sequences with maximal element k), A175579 (ascent sequences with k zeros).

Sequence in context: A098977 A247311 A113547 * A259697 A115313 A048942

Adjacent sequences:  A218577 A218578 A218579 * A218581 A218582 A218583

KEYWORD

nonn,tabl

AUTHOR

Joerg Arndt, Nov 03 2012

STATUS

approved

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Last modified June 23 02:54 EDT 2017. Contains 288633 sequences.