A111799 Triangle T(h, w) = number of rotes of height h and wayage w.

1, 1, 3, 4, 77

Offset

1,3

Comments

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.

Links

Table of n, a(n) for n=1..5.

J. Awbrey, Riffs and Rotes

Example

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 ` ? ` ? ` ? ` ? ` ? ` ? ` ? ` ?

Crossrefs

Cf. A001221, A007097, A050924, A061396, A062504, A062537, A062860.

Cf. A109300, A109301, A111791, A111792, A111793, A111798, A111800.

Sequence in context: A132414 A041171 A279935 * A135237 A316197 A041253

Adjacent sequences: A111796 A111797 A111798 * A111800 A111801 A111802

Keyword

nonn,tabf

Author

Jon Awbrey, Sep 01 2005 - Sep 02 2005

Status

approved