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Search: id:A111799
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| A111799 |
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Triangle T(h, w) = number of rotes of height h and wayage w. |
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+0
2
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OFFSET
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1,3
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COMMENT
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T(h, w) = |{positive integers m : A109301(m) = h and A001221(m) = w}|.
Let c(h) = 1 for h = 0 and A050924(h) for h > 0. In other words, c(h) is the sequence [1, A050924] = [1,1,2,9,10^9, ...] that begins with 1 and continues with the terms of A050924. Then the number of nonzero entries in row h is c(h) and their sum is A109300(h). See A111798 for definitions and further details.
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EXAMPLE
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Table T(h, w), omitting zeros, begins as follows:
h\w| 0 ` 1 ` 2 ` 3 ` 4 ` 5 ` 6 ` 7 ` 8 ` 9
---+---------------------------------------
`0 | 1
`1 | ` ` 1
`2 | ` ` 3 ` 4
`3 | ` `77 ` ? ` ? ` ? ` ? ` ? ` ? ` ? ` ?
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CROSSREFS
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Cf. A001221, A007097, A050924, A061396, A062504, A062537, A062860.
Cf. A109300, A109301, A111791, A111792, A111793, A111798, A111800.
Adjacent sequences: A111796 A111797 A111798 this_sequence A111800 A111801 A111802
Sequence in context: A012194 A132414 A041171 this_sequence A135237 A041253 A126578
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KEYWORD
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nonn,tabf
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AUTHOR
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Jon Awbrey (jawbrey(AT)att.net), Sep 01 2005 - Sep 02 2005
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