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A094625 Expansion of x*(2+22*x+11*x^2)/((x-1)*(1+x)*(10*x^2-1)). 2
0, 2, 22, 33, 242, 343, 2442, 3443, 24442, 34443, 244442, 344443, 2444442, 3444443, 24444442, 34444443, 244444442, 344444443, 2444444442, 3444444443, 24444444442, 34444444443, 244444444442, 344444444443, 2444444444442 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Previous name: Palindromic sequence whose n-th term digits sum to 2n.

LINKS

Table of n, a(n) for n=0..24.

Index entries for linear recurrences with constant coefficients, signature (0,11,0,-10).

FORMULA

a(n) = 10^(n/2)*(31*sqrt(10)/180 + 11/9 - (31*sqrt(10)/180 - 11/9)*(-1)^n) - (-1)^n/2 - 35/18;

a(n) = A094623(n) + A094624(n).

G.f.: x*(2+22*x+11*x^2) / ( (x-1)*(1+x)*(10*x^2-1) ). - R. J. Mathar, Nov 27 2014

CROSSREFS

Sequence in context: A085185 A166726 A156441 * A130751 A227534 A126913

Adjacent sequences:  A094622 A094623 A094624 * A094626 A094627 A094628

KEYWORD

easy,nonn,base

AUTHOR

Paul Barry, May 15 2004

STATUS

approved

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Last modified July 6 05:43 EDT 2020. Contains 335475 sequences. (Running on oeis4.)