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Row sums of triangle A134237.
3

%I #18 Mar 25 2022 02:29:24

%S 1,5,14,28,47,71,100,134,173,217,266,320,379,443,512,586,665,749,838,

%T 932,1031,1135,1244,1358,1477,1601,1730,1864,2003,2147,2296,2450,2609,

%U 2773,2942,3116,3295,3479,3668,3862,4061,4265,4474,4688,4907,5131

%N Row sums of triangle A134237.

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

%F Binomial transform of (1, 4, 5, 0, 0, 0, ...).

%F a(n) = a(n-1) + 5*n - 6 (with a(1)=1). - _Vincenzo Librandi_, Nov 23 2010

%o (PARI) a(n)=(5*n^2-7*n+4)/2 \\ _Charles R Greathouse IV_, Jun 17 2017

%Y Cf. A134237.

%K nonn,easy

%O 1,2

%A _Gary W. Adamson_, Oct 14 2007