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A174016 Row sums of number triangle A174014. 2
1, 2, 6, 16, 40, 92, 192, 352, 528, 512, -192, -2128, -3840, 5888, 69056, 299264, 917760, 2125184, 3258368, -117760, -23297536, -103321600, -295843840, -577744128, -416948224, 2490589184, 14821469184, 50063536128 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Hankel transform is 1,2,-8,-32,-256,4096,... (signed version of A134751).

LINKS

Table of n, a(n) for n=0..27.

FORMULA

G.f.: (sqrt(1-4x+4x^2+8x^3)+4x-1)/(2x(1-2x));

G.f.: 1/(1-2x/(1-x/(1+x/(1-2x/(1-x/(1+x/(1-2x/(1-... (continued fraction).

a(n)=Sum_{0<=k<=n} A198379(n,k)*2^k. - From Philippe Deléham, Oct 29 2011

Conjecture: (n+1)*a(n) -6*n*a(n-1) +12*(n-1)*a(n-2) -12*a(n-3) +8*(7-2*n)*a(n-4)=0. - R. J. Mathar, Nov 13 2012

CROSSREFS

Sequence in context: A273348 A198951 A078774 * A265725 A129952 A057711

Adjacent sequences:  A174013 A174014 A174015 * A174017 A174018 A174019

KEYWORD

easy,sign

AUTHOR

Paul Barry, Mar 05 2010

EXTENSIONS

First formula corrected by Philippe Deléham, Feb 16 2012.

STATUS

approved

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Last modified June 25 09:48 EDT 2019. Contains 324347 sequences. (Running on oeis4.)