The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A050192 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A050192

a(n)=a(n-1)+a(n-2)-d, where d=a(n/2) if n is even, else d=0; 2 initial terms.
(history; published version)

#8 by Giovanni Resta at Sat Jun 06 08:44:30 EDT 2020

STATUS

reviewed

approved

#7 by Joerg Arndt at Sat Jun 06 01:16:47 EDT 2020

STATUS

proposed

reviewed

#6 by Robert Israel at Fri Jun 05 17:37:55 EDT 2020

STATUS

editing

proposed

#5 by Robert Israel at Fri Jun 05 17:37:48 EDT 2020

LINKS

Robert Israel, <a href="/A050192/b050192.txt">Table of n, a(n) for n = 1..4780</a>

FORMULA

G.f. g(z) satisfies (1-z-z^2)*g(z) - g(z^2) = z. - Robert Israel, Jun 05 2020

MAPLE

G:= z -> z:

for i from 1 to 7 do

G:= unapply(convert(series((z-G(z^2))/(1-z-z^2), z, 2^i+1), polynom), z)

od:

seq(coeff(G(z), z, i), i=1..2^7); # Robert Israel, Jun 05 2020

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 18:57:01 EDT 2012

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu)

Clark Kimberling

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#3 by N. J. A. Sloane at Sat Sep 13 03:00:00 EDT 2003

KEYWORD

nonn,new

nonn

AUTHOR

Clark Kimberling, (ck6(AT)evansville.edu)

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

KEYWORD

nonn,new

nonn

AUTHOR

Clark Kimberling, ck6@cedar.(AT)evansville.edu

#1 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999

NAME

a(n)=a(n-1)+a(n-2)-d, where d=a(n/2) if n is even, else d=0; 2 initial terms.

DATA

1, 0, 1, 1, 2, 2, 4, 5, 9, 12, 21, 31, 52, 79, 131, 205, 336, 532, 868, 1388, 2256, 3623, 5879, 9471, 15350, 24769, 40119, 64809, 104928, 169606, 274534, 443935, 718469, 1162068, 1880537, 3042073, 4922610, 7963815, 12886425

OFFSET

1,5

KEYWORD

nonn

AUTHOR

Clark Kimberling, ck6@cedar.evansville.edu

STATUS

approved