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A242508 Number of compositions of n, where the difference between the number of odd parts and the number of even parts is 10. 2
1, 0, 10, 12, 55, 144, 311, 936, 1989, 4928, 11557, 25340, 59025, 128576, 283100, 620976, 1327258, 2862528, 6080645, 12845064, 27102284, 56625624, 118144679, 245331648, 507035957, 1045854240, 2148159266, 4400962876, 8993987459, 18326508928, 37269909849 (list; graph; refs; listen; history; text; internal format)
OFFSET

10,3

COMMENTS

With offset 20 number of compositions of n, where the difference between the number of odd parts and the number of even parts is -10.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..1000

FORMULA

Recurrence (for n>=14): (n-10)*(n+20)*(2*n+3)*(2*n+5)*(n^4 + 10*n^3 + 35*n^2 + 50*n - 9976)*a(n) = -400*(n-11)*(n+2)*(n+19)*(2*n+3)*(2*n+7)*a(n-1) + 2*(2*n + 5)*(2*n^7 + 41*n^6 + 500*n^5 + 2585*n^4 - 16152*n^3 - 177396*n^2 - 1963520*n - 4094400)*a(n-2) + 2*(n+2)*(2*n+3)*(2*n+7)*(2*n^5 + 31*n^4 + 183*n^3 + 709*n^2 - 18145*n - 33100)*a(n-3) - (n-4)*(n+6)*(2*n+5)*(2*n+7)*(n^4 + 14*n^3 + 71*n^2 + 154*n - 9880)*a(n-4). - Vaclav Kotesovec, May 20 2014

CROSSREFS

Column k=10 of A242498.

Sequence in context: A267393 A248481 A266700 * A219917 A257039 A223150

Adjacent sequences:  A242505 A242506 A242507 * A242509 A242510 A242511

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 16 2014

STATUS

approved

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Last modified April 5 08:04 EDT 2020. Contains 333238 sequences. (Running on oeis4.)