A111793 Triangle T(g, h) = number of rotes of weight g and height h, both in gammas.

1, 1, 2, 2, 4, 2, 10, 8, 1, 24, 32, 16

Offset

1,3

Comments

T(g, h) = |{positive integers m : A062537(m) = g and A109301(m) = h}|.

Row sums = A061396. Column sums = A109300. See A111792 for details.

Main diagonal T(j, j) = 2^(j-1) for j > 0, T(0, 0) = 1.

Links

Table of n, a(n) for n=1..12.

J. Awbrey, Riffs and Rotes

Example

Table T(g, h), omitting zeros, starts out as follows:
g\h| 0 ` 1 ` 2 ` 3 ` 4 ` 5
---+-----------------------
`0 | 1
`1 | ` ` 1
`2 | ` ` ` ` 2
`3 | ` ` ` ` 2 ` 4
`4 | ` ` ` ` 2 `10 ` 8
`5 | ` ` ` ` 1 `24 `32 `16

Crossrefs

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

Cf. A109300, A109301, A111791, A111792, A111794, A111800.

Sequence in context: A306019 A194560 A111741 * A349754 A376404 A064482

Adjacent sequences: A111790 A111791 A111792 * A111794 A111795 A111796

Keyword

nonn,tabf

Author

Jon Awbrey, Aug 26 2005, revised Aug 28 2005

Status

approved