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A116989
Inverse Moebius transform of 6-simplex numbers A000579.
0
1, 925, 1135716, 593223373, 130220375812, 14195655302684, 893936543319276, 36397263567477054, 1025115791220794876, 21899052879460199956, 372805053916689840596, 5076066733212581886566, 57875038239259949679248
OFFSET
0,2
FORMULA
a(n) = SUM[d|n] d*(d+1)*(d+2)*(d+3)*(d+4)*(d+5)/720. a(n) = SUM[d|n] C(d,6). a(n) = SUM[d|n] A000579(d). a(n) = SUM[d|n] (1/720)d^6+(1/48)d^5+(17/144)d^4+(5/16)d^3+(137/360)d^2+(1/6)d.
CROSSREFS
See also: A007437 = inverse Moebius transform of triangular numbers, A116963 = inverse Moebius transform of tetrahedral numbers. Cf. A073570, A101289.
Sequence in context: A245791 A229641 A147548 * A152503 A099688 A257485
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Apr 02 2006
STATUS
approved