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A130876 Centered 1729-gonal numbers. 2

%I #12 Jun 17 2017 00:32:43

%S 1,1730,5188,10375,17291,25936,36310,48413,62245,77806,95096,114115,

%T 134863,157340,181546,207481,235145,264538,295660,328511,363091,

%U 399400,437438,477205,518701,561926,606880,653563,701975,752116,803986,857585,912913

%N Centered 1729-gonal numbers.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3, -3, 1).

%F a(n) = 1+(1729/2)*n+(1729/2)*n^2.

%p a:= n-> 1+(1729/2)*n*(1+n):

%p seq(a(n), n=0..35); # _Alois P. Heinz_, Jul 16 2013

%t LinearRecurrence[{3,-3,1},{1,1730,5188},40] (* or *) Table[1+(1729/2)n(n+1), {n,0,40}] (* _Harvey P. Dale_, May 22 2017 *)

%o (PARI) a(n) = 1 + (1729/2)*n + (1729/2)*n^2 \\ _Michel Marcus_, Jul 16 2013

%Y Cf. A130859.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, Oct 06 2007, based on a suggestion from Anton Mravcek in 2004.

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)