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A239552 Number of compositions of n such that the first part is 1 and the second differences of the parts are in {-2,...,2}. 2
1, 1, 1, 2, 4, 7, 11, 18, 32, 53, 89, 152, 255, 431, 733, 1243, 2111, 3583, 6087, 10342, 17564, 29845, 50704, 86150, 146382, 248716, 422618, 718091, 1220156, 2073272, 3522846, 5985967, 10171232, 17282786, 29366645, 49899299, 84788109, 144070585, 244802450 (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 = 1.6991842071646453928920987915033839182675484195426953647249305754952..., c = 0.4361924842463814839782496098129122542027259655263562779280217228428... . - Vaclav Kotesovec, Aug 28 2014

EXAMPLE

a(5) = 7: [1,1,1,1,1], [1,1,1,2], [1,1,2,1], [1,1,3], [1,2,1,1], [1,2,2], [1,4].

a(6) = 11: [1,1,1,1,1,1], [1,1,1,1,2], [1,1,1,2,1], [1,1,1,3], [1,1,2,1,1], [1,1,2,2], [1,2,1,1,1], [1,2,1,2], [1,2,2,1], [1,2,3], [1,5].

CROSSREFS

Column k=2 of A239550.

Sequence in context: A018063 A289004 A000570 * A023426 A157134 A127926

Adjacent sequences:  A239549 A239550 A239551 * A239553 A239554 A239555

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 21 2014

STATUS

approved

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Last modified February 19 19:18 EST 2020. Contains 332047 sequences. (Running on oeis4.)