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4, 12, 20, 28, 36, 44, 52, 60, 68, 76, 84, 92, 100, 108, 116, 124, 132, 140, 148, 156, 164, 172, 180, 188, 196, 204, 212, 220, 228, 236, 244, 252, 260, 268, 276, 284, 292, 300, 308, 316, 324, 332, 340, 348, 356, 364, 372, 380, 388, 396, 404, 412, 420, 428, 436, 444, 452, 460, 468
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Apart from initial term(s), dimension of the space of weight 2n cuspidal newforms for Gamma_0( 65 ).
n such that 16 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(1/4). - Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 17 2002
Consider all primitive Pythagorean triples (a,b,c) with c-a=8, sequence gives values for b. (Corresponding values for a are A078371(n), while c follows A078370(n).) - Lambert Klasen (Lambert.Klasen(AT)gmx.net), Nov 19 2004
Also numbers of the form a^2 + b^2 + c^2 + d^2, where a,b,c,d are odd integers. - Alexander Adamchuk (alex(AT)kolmogorov.com), Dec 01 2006
If X is an n-set and Y_i (i=1,2,3) mutually disjoint 2-subsets of X then a(n-5) is equal to the number of 4-subests of X intersecting each Y_i (i=1,2,3). - Milan R. Janjic (agnus(AT)blic.net), Aug 26 2007
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1100
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
| a(n) = A118413(n+1,3) for n>2. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 27 2006
a(n) = 16*n-a(n-1) with a(0)=4. [From Vincenzo Librandi, Nov 19 2010]
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MATHEMATICA
| lst={}; Do[AppendTo[lst, 8*n+4], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Feb 26 2009]
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PROG
| (MAGMA) [8*n+4: n in [0..50]]; // Vincenzo Librandi, Apr 26 2011
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CROSSREFS
| First differences of A016742 (even squares). Cf. A078370, A078371.
Sequence in context: A141065 A190748 A031065 * A081770 A062876 A085039
Adjacent sequences: A017110 A017111 A017112 * A017114 A017115 A017116
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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