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Search: id:A051062
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| 8, 24, 40, 56, 72, 88, 104, 120, 136, 152, 168, 184, 200, 216, 232, 248, 264, 280, 296, 312, 328, 344, 360, 376, 392, 408, 424, 440, 456, 472, 488, 504, 520, 536, 552, 568, 584, 600, 616, 632, 648, 664, 680, 696, 712, 728, 744, 760, 776, 792
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Apart from initial term(s), dimension of the space of weight 2n cuspidal newforms for Gamma_0( 97 ).
n such that 32 is the largest power of 2 dividing A003629(k)^n-1 for any k - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 23 2002
Continued fraction expansion of tanh(1/8). - Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 17 2002
If Y and Z are 2-blocks of a (4n+1)-set X then a(n-1) is the number of 3-subsets of X intersecting both Y and Z. - Milan R. Janjic (agnus(AT)blic.net), Oct 28 2007
General form: (q*n+x)*q x=+1; q=2=A016825, q=3=A017197, q=4=A119413, ... x=-1; q=3=A017233, q=4=A098502, ... x=+2; q=4=A051062,... [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 16 2009]
Except for the first term, a(n)=32*n-a(n-1), (with a(1)=24) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 25 2009]
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REFERENCES
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Letter from Gary W. Adamson concerning Prouhet-Thue-Morse sequence, Nov. 11, 1999.
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LINKS
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Milan Janjic, Two Enumerative Functions
Tanya Khovanova, Recursive Sequences
William A. Stein, Dimensions of the spaces S_k^{new}(Gamma_0(N))
William A. Stein, The modular forms database
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FORMULA
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a(n) = A118413(n+1,4) for n>3. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 27 2006
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MATHEMATICA
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q=4; lst={}; Do[AppendTo[lst, (q*n+2)*q], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 16 2009]
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CROSSREFS
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Sequence in context: A134223 A050427 A031046 this_sequence A152531 A074348 A063403
Adjacent sequences: A051059 A051060 A051061 this_sequence A051063 A051064 A051065
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Gary W. Adamson
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