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A017593 12n+6. +0
8
6, 18, 30, 42, 54, 66, 78, 90, 102, 114, 126, 138, 150, 162, 174, 186, 198, 210, 222, 234, 246, 258, 2, 70, 282, 294, 306, 318, 330, 342, 354, 366, 378, 390, 402, 414, 426, 438, 450, 462, 474, 486, 498, 5, 10, 522, 534, 546, 558, 570, 582, 594, 606, 618, 630, 642 (list; graph; listen)
OFFSET

0,1

COMMENT

Apart from initial term(s), dimension of the space of weight 2n cuspidal newforms for Gamma_0( 73 ).

Continued fraction expansion of tanh(1/6). - Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 17 2002

Also solutions to 5^x+7^x == 11 mod 13. - Cino Hilliard (hillcino368(AT)gmail.com), May 10 2003

Except for the first term, a(n)=24*n-a(n-1), (with a(1)=18) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 23 2009]

LINKS

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

William A. Stein, The modular forms database

FORMULA

A030133(a(n)) = 9. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 04 2007

EXAMPLE

For n=2, a(2)=24*2-18=30; n=3, a(3)=24*3-30=42; n=4, a(4)=24*4-42=54 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 23 2009]

PROGRAM

(Other) sage: [i+6 for i in range(645) if gcd(i, 12) == 12] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 21 2009]

CROSSREFS

Cf. A017641.

Adjacent sequences: A017590 A017591 A017592 this_sequence A017594 A017595 A017596

Sequence in context: A140450 A077660 A030568 this_sequence A096286 A153126 A110671

KEYWORD

nonn,easy,new

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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