|
| |
| |
|
|
|
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, 808, 824, 840
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| 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]
|
|
|
REFERENCES
| Letter from Gary W. Adamson concerning Prouhet-Thue-Morse sequence, Nov. 11, 1999.
|
|
|
LINKS
| 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
|
|
|
FORMULA
| a(n) = A118413(n+1,4) for n>3. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 27 2006
a(n)=32*n-a(n-1), (with a(0)=8) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 06 2010]
|
|
|
EXAMPLE
| a(1)=32*1-8=24; a(2)=32*2-24=40; a(3)=32*3-40=56 [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Aug 06 2010]
|
|
|
MATHEMATICA
| q=4; lst={}; Do[AppendTo[lst, (q*n+2)*q], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 16 2009]
Range[8, 1000, 16] (* From Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), May 31 2011 *)
|
|
|
CROSSREFS
| Cf. A008598, A119413, A106839.
Sequence in context: A050427 A031046 A173080 * A152531 A074348 A063403
Adjacent sequences: A051059 A051060 A051061 * A051063 A051064 A051065
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Gary W. Adamson
|
| |
|
|
