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A081106 6th binomial transform of (1,1,0,0,0,0,...). 4
1, 7, 48, 324, 2160, 14256, 93312, 606528, 3919104, 25194240, 161243136, 1027924992, 6530347008, 41358864384, 261213880320, 1645647446016, 10344069660672, 64885527871488, 406239826673664, 2538998916710400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Main diagonal of array defined by m(1,j)=j; m(i,1)=i and m(i,j)=m(i-1,j)+5*m(i-1,j-1). - Benoit Cloitre, Jun 13 2003

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (12, -36).

FORMULA

a(n) = 12*a(n-1)-36*a(n-2) with n>1, a(0)=1, a(1)=7.

a(n) = (n+6)*6^(n-1).

G.f.: (1-5*x)/(1-6*x)^2.

MATHEMATICA

CoefficientList[Series[(1 - 5 x)/(1 - 6 x)^2, {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)

LinearRecurrence[{12, -36}, {1, 7}, 30] (* Harvey P. Dale, Nov 07 2013 *)

PROG

(MAGMA) [(n+6)*6^(n-1): n in [0..25]]; // Vincenzo Librandi, Aug 06 2013 *)

CROSSREFS

Cf. A079028, A081105, A006234.

Sequence in context: A240334 A171312 A186161 * A289785 A036829 A164591

Adjacent sequences:  A081103 A081104 A081105 * A081107 A081108 A081109

KEYWORD

nonn,easy

AUTHOR

Paul Barry, Mar 07 2003

STATUS

approved

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Last modified October 25 01:40 EDT 2021. Contains 348233 sequences. (Running on oeis4.)