A152579 a(n) = (10*n+3)*(10*n+17).
51, 351, 851, 1551, 2451, 3551, 4851, 6351, 8051, 9951, 12051, 14351, 16851, 19551, 22451, 25551, 28851, 32351, 36051, 39951, 44051, 48351, 52851, 57551, 62451, 67551, 72851, 78351, 84051, 89951, 96051, 102351, 108851, 115551, 122451, 129551, 136851, 144351, 152051, 159951
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Index entries for linear recurrences with constant coefficients, signature (3,-3,1).
Programs
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Magma
[(10*n+3)*(10*n+17): n in [0..40]]; // Vincenzo Librandi, Jul 28 2011
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PARI
a(n)=100*n*(n+2)+51 \\ Charles R Greathouse IV, Jul 28 2011
Formula
a(n) = 2*a(n-2) - a(n-2) + 200.
a(n) = 50*A056220(n+1) + 1.
a(n+1) - a(n) = 200*n + 300 = 100*A144396(n+1).
G.f.: (-51 - 198*x + 49*x^2)/(x-1)^3. - R. J. Mathar, Jul 01 2011
From Elmo R. Oliveira, Oct 27 2024: (Start)
E.g.f.: exp(x)*(51 + 300*x + 100*x^2).
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3) for n > 2. (End)