The On-Line Encyclopedia of Integer Sequences (OEIS)

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A052705

Expansion of 2*x^2/(1 - 2*x - 2*x^2 + sqrt(1 - 4*x - 4*x^2)).
(history; published version)

#52 by N. J. A. Sloane at Thu Jan 30 21:29:14 EST 2020

FORMULA

D-finite with recurrence: a(1)=0, a(2)=1, a(3)=2, 4*(n+1)*a(n) + (10+8*n)*a(n+1) + (2+3*n)*a(n+2) + (-n-3)*a(n+3) = 0.

Discussion

Thu Jan 30

21:29

OEIS Server: https://oeis.org/edit/global/2847

#51 by R. J. Mathar at Mon Jan 20 06:59:39 EST 2020

STATUS

editing

approved

#50 by R. J. Mathar at Mon Jan 20 06:59:35 EST 2020

FORMULA

RecurrenceD-finite: a(1)=0, a(2)=1, a(3)=2, 4*(n+1)*a(n) + (10+8*n)*a(n+1) + (2+3*n)*a(n+2) + (-n-3)*a(n+3) = 0.

STATUS

approved

editing

#49 by Michel Marcus at Tue Sep 03 03:30:14 EDT 2019

STATUS

reviewed

approved

#48 by Joerg Arndt at Tue Sep 03 03:09:36 EDT 2019

STATUS

proposed

reviewed

#47 by Vaclav Kotesovec at Tue Sep 03 03:00:43 EDT 2019

STATUS

editing

proposed

#46 by Vaclav Kotesovec at Tue Sep 03 03:00:25 EDT 2019

FORMULA

a(n+2) = Sum_{k=0..n} sumSum_{j=0..n} C(j,n-j)*A001263(j,k). - Paul Barry, Jun 30 2009

#45 by Vaclav Kotesovec at Tue Sep 03 02:59:36 EDT 2019

FORMULA

a(n) ~ 2^(n + 3/4) * (1 + sqrt(2))^(n - 5/2) / (sqrt(Pi) * n^(3/2)). - Vaclav Kotesovec, Sep 03 2019

STATUS

approved

editing

#44 by Joerg Arndt at Sat Mar 23 03:02:37 EDT 2019

STATUS

proposed

approved

#43 by Michel Marcus at Fri Mar 22 03:06:29 EDT 2019

STATUS

editing

proposed