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A129834 (k-1)/2 where k runs over odd terms of A001372. 1
0, 0, 1, 3, 9, 23, 171, 475, 1307, 10245, 28951, 233099, 664496, 5442024, 3109434694, 218785948496 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Original definition: Suggested by A001372 as odd numbers to 130.

LINKS

Table of n, a(n) for n=1..16.

F. Hivert, J.-C. Novelli and J.-Y. Thibon, Commutative combinatorial Hopf algebras, arXiv:math/0605262 [math.CO], 2006.

FORMULA

A129834 = { (A001372(n)-1)/2 ; n such that A001372(n) is odd }. - Corrected by M. F. Hasler, Nov 05 2014

MATHEMATICA

A001372 = {1, 1, 3, 7, 19, 47, 130, 343, 951, 2615, 7318, 20491, 57903, 163898, 466199, 1328993, 3799624, 10884049, 31241170, 89814958, 258604642, 745568756, 2152118306, 6218869389, 17988233052, 52078309200, 150899223268, 437571896993 }; Flatten[Table[If[IntegerQ[(A001372[[n]] - 1)/2], (A001372[[n]] - 1)/2, {}], { n, 1.Length[A001372]}]]

CROSSREFS

Cf. A001372.

Sequence in context: A147508 A146472 A145955 * A029488 A198681 A254010

Adjacent sequences:  A129831 A129832 A129833 * A129835 A129836 A129837

KEYWORD

nonn,less

AUTHOR

Roger L. Bagula, May 21 2007

EXTENSIONS

New definition and minor edits by M. F. Hasler, Nov 05 2014

STATUS

approved

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Last modified January 28 20:33 EST 2022. Contains 350662 sequences. (Running on oeis4.)