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#15 by Joerg Arndt at Sun Jun 18 02:07:00 EDT 2017
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#14 by Michel Marcus at Sun Jun 18 00:24:22 EDT 2017
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#13 by Jon E. Schoenfield at Sat Jun 17 18:51:46 EDT 2017
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#12 by Jon E. Schoenfield at Sat Jun 17 18:51:42 EDT 2017
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| FORMULA
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a(n) = Sum_{1<=k<==1..n} A211399(n,k)*2^(k-1)._ ). - _Philippe Deléham_, Feb 12 2013
G.f.: 1 + 2*Sum_{n = 1..inf} a(n)*x^n = 1/(1-2*x/(1-x/(1-2*3*x/(1-2*x/(1-2*5*x/(1-3*x/(1-2*7*x/(1-4*x/(1-...))))))))) (continued fraction). _). - _Philippe Deléham_, Feb 12 2013
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| AUTHOR
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_Wolfdieter Lang_ _, Sep 15 2008
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| STATUS
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approved
editing
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#11 by Michael Somos at Sun Jan 11 02:26:41 EST 2015
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#10 by Michael Somos at Sun Jan 11 02:26:31 EST 2015
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| FORMULA
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G.f.: 1 + 2*Sum_{n = 1..inf} a(n)*x^n = 1/(1-2*x/(1-x/(1-2*3*x/(1-2*x/(1-2*5*x/(1-3*x/(1-2*7*x/(1-4*x/(1-...(-...))))))))) (continued fraction). Philippe Deléham, Feb 12 2013
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| STATUS
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approved
editing
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Discussion
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| Sun Jan 11
| 02:26
| Michael Somos: Closed parens.
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#9 by N. J. A. Sloane at Fri Feb 22 14:39:26 EST 2013
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| FORMULA
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a(n) = Sum_{1<=k<=n} A211399(n,k)*2^(k-1)._ DELEHAM Philippe Deléham_, Feb 12 2013
G.f.: 1 + 2*Sum_{n = 1..inf} a(n)*x^n = 1/(1-2*x/(1-x/(1-2*3*x/(1-2*x/(1-2*5*x/(1-3*x/(1-2*7*x/(1-4*x/(1-...(continued fraction). _DELEHAM Philippe Deléham_, Feb 12 2013
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Discussion
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| Fri Feb 22
| 14:39
| OEIS Server: https://oeis.org/edit/global/1863
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#8 by T. D. Noe at Mon Feb 11 22:28:04 EST 2013
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#7 by T. D. Noe at Mon Feb 11 22:27:59 EST 2013
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| FORMULA
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a(n)=sum(A142963(n,m),) = Sum_{m=0..n-1} A142963(n,m).
a(n) = Sum_{k, 1<=k<=n}} A211399(n,k)*2^(k-1)._ DELEHAM Philippe_, Feb 12 2013
G.f.: 1+ + 2*Sum_{n = 1..inf}} a(n)*x^n = 1/(1-2*x/(1-x/(1-2*3*x/(1-2*x/(1-2*5*x/(1-3*x/(1-2*7*x/(1-4*x/(1-...(continued fraction). DELEHAM Philippe, Feb 12 2013
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| CROSSREFS
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Cf. A142963, A211399.
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| STATUS
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proposed
editing
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#6 by DELEHAM Philippe at Mon Feb 11 20:50:19 EST 2013
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