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A239551 Number of compositions of n such that the first part is 1 and the second differences of the parts are in {-1,0,1}. 2
1, 1, 1, 2, 3, 4, 6, 9, 13, 18, 24, 34, 49, 71, 100, 145, 205, 295, 423, 610, 872, 1260, 1804, 2599, 3733, 5381, 7725, 11131, 15996, 23042, 33133, 47714, 68608, 98793, 142101, 204585, 294318, 423683, 609565, 877457, 1262508, 1817205, 2614832, 3763553, 5415668 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

FORMULA

a(n) ~ c * d^n, where d=1.4391340589699362028978918824612984596732704665024595117321768607966..., c=0.5987103268327131789103863373328359387911710658212178254615152936898... - Vaclav Kotesovec, May 01 2014

EXAMPLE

a(6) = 6: [1,1,1,1,1,1], [1,1,1,1,2], [1,1,2,2], [1,2,2,1], [1,2,3], [1,5].

CROSSREFS

Column k=1 of A239550.

Sequence in context: A255525 A129632 A016028 * A219282 A098578 A303667

Adjacent sequences:  A239548 A239549 A239550 * A239552 A239553 A239554

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 21 2014

STATUS

approved

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Last modified July 13 04:31 EDT 2020. Contains 335673 sequences. (Running on oeis4.)