A097802 a(n) = 3*(25*n + 1).
3, 78, 153, 228, 303, 378, 453, 528, 603, 678, 753, 828, 903, 978, 1053, 1128, 1203, 1278, 1353, 1428, 1503, 1578, 1653, 1728, 1803, 1878, 1953, 2028, 2103, 2178, 2253, 2328, 2403, 2478, 2553, 2628, 2703, 2778, 2853, 2928, 3003, 3078, 3153, 3228, 3303, 3378, 3453, 3528
Offset: 0
Links
- Tanya Khovanova, Recursive Sequences.
- Index entries for linear recurrences with constant coefficients, signature (2,-1).
Crossrefs
Cf. A158060.
Programs
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Mathematica
75*Range[0, 50]+3 (* Paolo Xausa, Feb 16 2024 *)
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PARI
a(n)=3*(25*n+1) \\ Charles R Greathouse IV, Jul 10 2016
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PARI
my(x='x+O('x^48)); Vec(3*(1+24*x)/(1-x)^2) \\ Elmo R. Oliveira, May 25 2025
Formula
From Elmo R. Oliveira, May 25 2025: (Start)
G.f.: 3*(1 + 24*x)/(1-x)^2.
E.g.f.: 3*exp(x)*(1 + 25*x).
a(n) = 3*A158060(n) for n > 0.
a(n) = 2*a(n-1) - a(n-2). (End)
Extensions
More terms from Robert G. Wilson v and Mark Hudson (mrmarkhudson(AT)hotmail.com), Aug 26 2004
a(45)-a(47) from Elmo R. Oliveira, May 25 2025