The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A114226

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A114226

Row sums of a Pascal-Thue-Morse triangle.
(history; published version)

#3 by Russ Cox at Fri Mar 30 18:59:13 EDT 2012

AUTHOR

_Paul Barry (pbarry(AT)wit.ie), _, Nov 18 2005

Discussion

Fri Mar 30

18:59

OEIS Server: https://oeis.org/edit/global/287

#2 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006

FORMULA

a(n)=sum{k=0..n, sum{j=0..n-k, C(n-k, j)C(k, j)A010060(j+1)}}; a(n)=sum{k=0..n, C(n, k)A095190(k+2)}.

KEYWORD

easy,nonn,new

#1 by N. J. A. Sloane at Tue Jan 24 03:00:00 EST 2006

NAME

Row sums of a Pascal-Thue-Morse triangle.

DATA

1, 2, 4, 8, 15, 26, 43, 72, 129, 250, 506, 1024, 2016, 3824, 7011, 12592, 22661, 42042, 82384, 171704, 375386, 840092, 1881584, 4153824, 8964736, 18852992, 38629504, 77259008, 151303440, 291370976

OFFSET

0,2

COMMENTS

Binomial transform of double Gould sequence A095190(n+2). Row sums of A114225.

FORMULA

a(n)=sum{k=0..n, sum{j=0..n-k,C(n-k,j)C(k,j)A010060(j+1)}}; a(n)=sum{k=0..n, C(n,k)A095190(k+2)}.

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Nov 18 2005

STATUS

approved