A061605 - OEIS

A061605

Ooguri-Vafa invariants of disk domain wall degeneracies for brane I in the O(K) -> P^1 X P^1 geometry.

1, 30, 300, 1776, 7650, 26532, 78540, 205920, 490347, 1079650, 2227368, 4349280, 8101860, 14488488, 25000200, 41798784, 67951125, 107724870, 166956724, 253506000, 377807430, 553538700, 798419700, 1135162080, 1592589375, 2206949706, 3023444880, 4098001600

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OFFSET

0,2

COMMENTS

This is row k[s] = 3 in Table 1, "m = 1", of the Aganagic-Klemm-Vafa paper (page 20) and preprint (page 38); due to the formula (6.9), also the opposite of row k[s] = 3 in Table 2, "m = -1", up to the offset/leading 0. - M. F. Hasler, Nov 03 2025

See A061606 for further details. - Steven Kotlarz, Apr 09 2026

LINKS

Table of n, a(n) for n=0..27.

Mina Aganagic, Albrecht Klemm, and Cumrun Vafa, Disk Instantons, Mirror Symmetry and the Duality Web, Z. Naturforsch. A 57 (2002), 1-28; also arXiv:hep-th/0105045, 2001.

FORMULA

a(n) = (n+1) * (binomial(n+8,8) + 6*binomial(n+7,8) + binomial(n+6,8)). - Steven Kotlarz, Mar 16 2026

CROSSREFS

Cf. A061605 - A061627, A061628 - A061637, A092698 - A092726.

Sequence in context: A389796 A129029 A101381 * A125393 A126551 A328751

Adjacent sequences: A061602 A061603 A061604 * A061606 A061607 A061608

KEYWORD

nonn,changed

AUTHOR

N. J. A. Sloane, Jun 10 2001

EXTENSIONS

More terms from Steven Kotlarz, Mar 16 2026

STATUS

approved