A139249 a(n) = 30*n - 24.

6, 36, 66, 96, 126, 156, 186, 216, 246, 276, 306, 336, 366, 396, 426, 456, 486, 516, 546, 576, 606, 636, 666, 696, 726, 756, 786, 816, 846, 876, 906, 936, 966, 996, 1026, 1056, 1086, 1116, 1146, 1176, 1206, 1236, 1266, 1296, 1326, 1356, 1386, 1416, 1446, 1476

Offset: 1

Author

Odimar Fabeny, Jun 06 2008, Jun 07 2008

Keywords

• easy
• nonn

Comments

Multiples of 6 with unit digit equal to 6.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..2000
• William A. Stein, Dimensions of the spaces S_k(Gamma_0(N)).
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Subsequence of A034709, together with A017281, A017293, A139222, A139245, A017329, A139264, A139279 and A139280. - Reinhard Zumkeller, Jun 22 2008

Cf. A016861.

Programs

Magma

[30*n - 24: n in [1..60]]; // Vincenzo Librandi, Jun 19 2011

Mathematica

Range[6,7000,30] (* Vladimir Joseph Stephan Orlovsky, Jun 18 2011 *)
NestList[30+#&,6,50] (* or *) LinearRecurrence[{2,-1},{6,36},50] (* Harvey P. Dale, May 27 2018 *)

PARI

a(n)=30*n-24 \\ Charles R Greathouse IV, Aug 25 2014

Formula

a(n) = a(n-1) + 30.

From Elmo R. Oliveira, Apr 04 2025: (Start)

G.f.: 6*x*(1+4*x)/(1-x)^2.

E.g.f.: 6*(exp(x)*(5*x - 4) + 4).

a(n) = 6*A016861(n-1).

a(n) = 2*a(n-1) - a(n-2) for n > 2. (End)

Extensions

More terms from Reinhard Zumkeller, Jun 22 2008

Edited by R. J. Mathar, Jul 20 2008