A187206 a(n) = 6*(24*n - 1).

138, 282, 426, 570, 714, 858, 1002, 1146, 1290, 1434, 1578, 1722, 1866, 2010, 2154, 2298, 2442, 2586, 2730, 2874, 3018, 3162, 3306, 3450, 3594, 3738, 3882, 4026, 4170, 4314, 4458, 4602, 4746, 4890, 5034, 5178, 5322, 5466, 5610, 5754, 5898, 6042, 6186, 6330, 6474, 6618

Offset: 1

Author

Omar E. Pol, Jul 09 2011

Keywords

• nonn
• easy

Comments

The expression 6*(24*n - 1) is mentioned in the Bruinier-Ono paper (see theorem 1.1 and chapter 5).

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..10000
• J. H. Bruinier and K. Ono, Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms.
• E. Larson and L. Rolen, Integrality properties of the CM-values of certain weak Maass forms.
• Index entries for linear recurrences with constant coefficients, signature (2,-1).

Crossrefs

Cf. A000041, A183009, A183010, A183011.

Programs

Magma

[6*(24*n - 1): n in [1..45]]; // Vincenzo Librandi, Jul 12 2011

Mathematica

144*Range[40]-6 (* Harvey P. Dale, Jul 20 2011 *)

PARI

a(n)=144*n-6 \\ Charles R Greathouse IV, Nov 03 2011

Formula

a(n) = 6*A183010(n).

From Elmo R. Oliveira, Apr 03 2025: (Start)

G.f.: 6*x*(x + 23)/(1 - x)^2.

E.g.f.: 6*(exp(x)*(24*x - 1) + 1).

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