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#12 by Peter Luschny at Sun Oct 11 05:52:01 EDT 2020
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#11 by Michel Marcus at Sun Oct 11 04:40:29 EDT 2020
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#10 by Vaclav Kotesovec at Sun Oct 11 04:34:28 EDT 2020
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#9 by Vaclav Kotesovec at Sun Oct 11 04:33:15 EDT 2020
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G.f. satisfies A(x) = f(x) + x*A(x)*f(x)^3, where f(x) = Sum_{k>=0} x^((4^nk-1)/3).
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| STATUS
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approved
editing
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#8 by Joerg Arndt at Sun Nov 19 01:39:02 EST 2017
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#7 by Wesley Ivan Hurt at Sat Nov 18 21:02:42 EST 2017
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#6 by Jon E. Schoenfield at Sat Nov 18 20:59:27 EST 2017
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#5 by Jon E. Schoenfield at Sat Nov 18 20:59:24 EST 2017
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G.f. satisfies A(x) = f(x) + x*A(x)*f(x)^3, where f(x)=sum() = Sum_{k>=0,} x^((4^n-1)/3)).).
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| EXAMPLE
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Given f(x) = 1 + + x + + x^5 + + x^21 + + x^85 + + x^341 +... + ...
so that f(x)^3 = 1 + + 3x + + 3x^2 + + x^3 + + 3x^5 + + 6x^6 + + 3x^7 + + 3x^10 +... + ...
then A(x) = (1+ + x+ + x^5+...) + + ...) + x*A(x)*(1+ + 3x+ + 3x^2+ + x^3+ + 3x^5+ + 6x^6 +...) + ...)
= 1 + + 2x + + 5x^2 + + 14x^3 + + 36x^4 + + 96x^5 + + 254x^6 +... + ...
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| STATUS
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approved
editing
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#4 by Russ Cox at Fri Mar 30 18:36:38 EDT 2012
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| AUTHOR
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_Paul D. Hanna (pauldhanna(AT)juno.com), _, Aug 27 2003
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Discussion
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| Fri Mar 30
| 18:36
| OEIS Server: https://oeis.org/edit/global/213
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#3 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007
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| KEYWORD
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nonn,new
nonn
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| AUTHOR
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Paul D . Hanna (pauldhanna(AT)juno.com), Aug 27 2003
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