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A294054 Number of set partitions of [n] such that the maximal absolute difference between consecutive elements within a block equals five. 2
15, 129, 836, 4789, 25430, 128360, 625905, 2976800, 13896153, 63950894, 291050996, 1312981604, 5881158250, 26191105884, 116085151862, 512487018089, 2255036961813, 9895020092839, 43316960894877, 189247864529166, 825397574526671, 3594688070523059, 15635607417594050 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..1000

Index entries for linear recurrences with constant coefficients, signature (11, -40, 49, -8, 14, 94, -354, 92, 41, 464, -113, -280, -39, -164, 217, 104, -48, -16, -32, 6, 5, 2, 1, -1)

FORMULA

G.f.: (x^15-3*x^13-2*x^12-4*x^11+7*x^10+21*x^9+9*x^8-33*x^7-44*x^6+48*x^5-10*x^4 +18*x^3+17*x^2-36*x+15)*x^6 / ((x^8-x^7-7*x^5+7*x^4+x^3+4*x^2-5*x+1) *(x^10-x^9 -x^7 -9*x^6 +10*x^5+9*x^4-7*x^3+4*x^2-5*x+1)*(x^6+x^5-x^4-3*x^2-x+1)).

a(n) = A287277(n) - A287276(n).

CROSSREFS

Column k=5 of A287213.

Cf. A287276, A287277.

Sequence in context: A209404 A127595 A056579 * A156922 A271791 A155656

Adjacent sequences:  A294051 A294052 A294053 * A294055 A294056 A294057

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Oct 22 2017

STATUS

approved

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)