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A017305 10n+3. +0
8
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, 123, 133, 143, 153, 163, 173, 183, 193, 203, 213, 223, 233, 243, 253, 263, 273, 283, 293, 303, 313, 323, 333, 343, 353, 363, 373, 383, 393, 403, 413, 423, 433, 443 (list; graph; listen)
OFFSET

0,1

COMMENT

Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0( 38 ).

For many of these numbers n (13, 23, 33, 53, 63, 103, etc), (n^2+1)/10 is prime [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Jan 09 2009]

LINKS

Tanya Khovanova, Recursive Sequences

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

William A. Stein, The modular forms database

PROGRAM

(Other) sage: [i+3 for i in range(443) if gcd(i, 10) == 10] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 20 2009]

CROSSREFS

Sequence in context: A043501 A062667 A106099 this_sequence A018709 A121756 A147473

Adjacent sequences: A017302 A017303 A017304 this_sequence A017306 A017307 A017308

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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