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Inverse Moebius transform of 6-simplex numbers A000579.
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%I #4 Mar 30 2012 18:40:36

%S 1,925,1135716,593223373,130220375812,14195655302684,893936543319276,

%T 36397263567477054,1025115791220794876,21899052879460199956,

%U 372805053916689840596,5076066733212581886566,57875038239259949679248

%N Inverse Moebius transform of 6-simplex numbers A000579.

%F 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.

%Y See also: A007437 = inverse Moebius transform of triangular numbers, A116963 = inverse Moebius transform of tetrahedral numbers. Cf. A073570, A101289.

%Y Cf. A000389, A000579, A007437, A116963, A101289.

%K easy,nonn

%O 0,2

%A _Jonathan Vos Post_, Apr 02 2006