[seqfan] A232695 - b-File Will Not ReLoad?
Paul D Hanna
pauldhanna at juno.com
Thu Nov 28 05:09:52 CET 2013
Neil and Seqfans,
I uploaded a b-file for https://oeis.org/A232695,but then realized I needed to correct terms n>62,so I uploaded another b-file; but the old (incorrect) file still appears.
How do I correct this so that the most recent b-file displays?
Also, can someone see a pattern to the following sequence (superseeker does not):
[4, 16, 52, 180, 388, 868, 2532, 5860, 13028, 27364,
63204, 157412, 370404, 780004, 1730276, 3630820,
7431908, 14509796, 32597732, 72967908, ...].
These values are the sum of residues modulo 2^n of the terms in A232695:
b(n) = Sum_{k>=0} A232695(k) (mod 2^n) for n>=1.
These b(n) are finite since the residues mod 2^n are all zero after position 8*n-7 for n>1:
A232695(k) == 0 (mod 2^n) for k >= 8*n-7 for n>1,
and for case n=1, only the first 4 terms are odd.
In case you are interested, the e.g.f. for A232695 satisfies both: A'(x) = A(x*A'(x)^5) and A(x) = A'(x/A(x)^5)
and begins:
A(x) = 1 + x + x^2/2! + 11*x^3/3! + 266*x^4/4! + 10326*x^5/5! +...
Thanks!
Paul
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