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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
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 A330664 A330843
KEYWORD
nonn,tabl
AUTHOR
Joerg Arndt, Nov 03 2012
STATUS
approved

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Last modified March 19 06:52 EDT 2024. Contains 370953 sequences. (Running on oeis4.)