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A114901 Number of compositions of n such that each part is adjacent to an equal part. 0
1, 0, 1, 1, 2, 1, 5, 3, 10, 10, 21, 22, 49, 51, 105, 126, 233, 292, 529, 678, 1181, 1585, 2654, 3654, 6016, 8416, 13606, 19395, 30840, 44517, 70087, 102070, 159304, 233941, 362429, 535520, 825358, 1225117, 1880220, 2801749, 4285086, 6404354 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..41.

N. J. A. Sloane, Transforms

FORMULA

INVERT(iMOEBIUS(iINVERT(A000012 shifted right 2 places)))

EXAMPLE

The 5 compositions of 6 are 3+3, 2+2+2, 2+2+1+1, 1+1+2+2, 1+1+1+1+1+1.

CROSSREFS

Cf. A003242, A007690.

Sequence in context: A085261 A179218 A131119 * A194809 A113178 A108362

Adjacent sequences:  A114898 A114899 A114900 * A114902 A114903 A114904

KEYWORD

nonn

AUTHOR

Christian G. Bower, Jan 05 2006

STATUS

approved

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Last modified February 23 12:35 EST 2019. Contains 320431 sequences. (Running on oeis4.)