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A017089 a(n) = 8*n+2. 12
2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194, 202, 210, 218, 226, 234, 242, 250, 258, 266, 274, 282, 290, 298, 306, 314, 322, 330, 338, 346, 354, 362, 370, 378, 386, 394, 402, 410, 418, 426 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0( 33 ).

Apart from initial term(s), dimension of the space of weight 2n cuspidal newforms for Gamma_0( 81 ).

First differences of A002939. - Aaron David Fairbanks, May 13 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..5000

Tanya Khovanova, Recursive Sequences

William A. Stein, Dimensions of the spaces S_k(Gamma_0(N))

William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))

William A. Stein, The modular forms database

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(n) = 8*n+2; a(n) = 2*a(n-1)-a(n-2). - Vincenzo Librandi, May 28 2011

MAPLE

A017089:=n->8*n+2; seq(A017089(n), n=0..50); # Wesley Ivan Hurt, May 13 2014

MATHEMATICA

Range[2, 1000, 8] (* Vladimir Joseph Stephan Orlovsky, May 27 2011 *)

PROG

(MAGMA) [8*n+2: n in [0..60]]; // Vincenzo Librandi, May 28 2011

(Haskell)

a017089 = (+ 2) . (* 8)

a017089_list = [2, 10 ..]  -- Reinhard Zumkeller, Jun 07 2015

(PARI) a(n) = 8*n+2; \\ Michel Marcus, Sep 17 2015

CROSSREFS

Cf. A008589, A016993, A017005, A017017, A017077.

Sequence in context: A074069 A069081 A126005 * A097269 A028413 A282226

Adjacent sequences:  A017086 A017087 A017088 * A017090 A017091 A017092

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 11 1996

STATUS

approved

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Last modified July 24 21:38 EDT 2017. Contains 289777 sequences.