A257645 a(n) = 15*n + 14.

14, 29, 44, 59, 74, 89, 104, 119, 134, 149, 164, 179, 194, 209, 224, 239, 254, 269, 284, 299, 314, 329, 344, 359, 374, 389, 404, 419, 434, 449, 464, 479, 494, 509, 524, 539, 554, 569, 584, 599, 614, 629, 644, 659, 674, 689, 704, 719, 734, 749, 764, 779

Offset: 0

Author

Arkadiusz Wesolowski, Nov 05 2015

Keywords

• nonn
• easy

Comments

A123159(a(n)) <= 4.

This is not a subsequence of A047725 (for example, 239 is missing in A047725). - Bruno Berselli, Nov 06 2015

Equivalently, intersection of A016897 and A016789. - Bruno Berselli, Jan 24 2018

Links

• G. C. Greubel, Table of n, a(n) for n = 0..5000
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A008597, A016897, A175887, A123159, A204542.

Programs

Magma

[15*n+14: n in [0..51]];

Maple

seq(15*n+14, n=0..51);

Mathematica

15 Range[50] - 1

PARI

for(n=0, 51, print1(15*n+14, ", "));

Formula

G.f.: (14 + x)/(1 - x)^2.

a(n) = A008597(n+1) - 1. - Omar E. Pol, Nov 05 2015

a(n) = A016897(3n+2) = A175887(2n+2) = A204542(4n+4). - Bruno Berselli, Nov 06 2015

E.g.f.: (15*x + 14)*exp(x). - G. C. Greubel, Apr 23 2018

a(n) = 2*a(n-1)-a(n-2). - Wesley Ivan Hurt, Dec 27 2023