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A140725 Inverse binomial transform of (0 followed by A037481). 2
0, 1, 4, 10, 34, 94, 298, 862, 2650, 7822, 23722, 70654, 212986, 636910, 1914826, 5736286, 17225242, 51642958, 154994410, 464852158, 1394818618, 4183931566, 12552843274, 37656432670, 112973492314, 338912088334, 1016753042218 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..26.

FORMULA

a(n)= (-1)^n*A091003(n), n>0.

a(n+1)-3*a(n) = (-1)^(n+1)*A000079(n-1), n>0.

|a(n+1)-3*a(n)| = A011782(n).

O.g.f.: (1+3x)x/((1+2x)(1-3x)). a(n)=((-2)^n+4*3^n)/10, n>0. - R. J. Mathar, Jul 14 2008

a(n) = a(n-1)+6*a(n-2) for n>2, a(0)=0, a(1)=1, a(2)=4. - Philippe Deléham, Nov 17 2013

a(n) + a(n+1) = A140796(n). - Philippe Deléham, Nov 17 2013

a(n+1) = sum_{k=0..n} A108561(n,k)*(-3)^k. - Philippe Deléham, Nov 17 2013

CROSSREFS

Cf. A083421 (bin. transform of (0 followed by A037481)).

Sequence in context: A301595 A022445 A091003 * A005630 A100507 A223006

Adjacent sequences:  A140722 A140723 A140724 * A140726 A140727 A140728

KEYWORD

nonn

AUTHOR

Paul Curtz, Jul 12 2008

EXTENSIONS

Edited and extended by R. J. Mathar, Jul 14 2008

STATUS

approved

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Last modified June 19 12:57 EDT 2019. Contains 324222 sequences. (Running on oeis4.)