A162436 -id:A162436 - cp's OEIS frontend

A162466 a(n) = 12*a(n-2) for n > 2; a(1) = 1, a(2) = 8.

1, 8, 12, 96, 144, 1152, 1728, 13824, 20736, 165888, 248832, 1990656, 2985984, 23887872, 35831808, 286654464, 429981696, 3439853568, 5159780352, 41278242816, 61917364224, 495338913792, 743008370688, 5944066965504

Offset: 1

Klaus Brockhaus, Jul 04 2009

nonn

Eighth binomial transform is A161729.

Index entries for linear recurrences with constant coefficients, signature (0,12).

Cf. A161729, A161728, A162436, A162272, A074324.

LinearRecurrence[{0,12},{1,8},30] (* Harvey P. Dale, Sep 17 2020 *)

{m=24; v=concat([1, 8], vector(m-2)); for(n=3, m, v[n]=12*v[n-2]); v}

Vec(x*(1+8*x)/(1-12*x^2)+O(x^29)) \\ M. F. Hasler, Dec 03 2014

a(n) = (5-(-1)^n)*2^(1/2 *(2*n-3+(-1)^n))*3^(1/4*(2*n-5+(-1)^n)).
G.f.: x*(1+8*x)/(1-12*x^2).
a(n) = 2^(n-1)*A074324(n). - M. F. Hasler, Dec 03 2014

G.f. and comment corrected, formula added by Klaus Brockhaus, Sep 18 2009

A164265 Partial sums of A162766.

Original entry on oeis.org

4, 7, 19, 28, 64, 91, 199, 280, 604, 847, 1819, 2548, 5464, 7651, 16399, 22960, 49204, 68887, 147619, 206668, 442864, 620011, 1328599, 1860040, 3985804, 5580127, 11957419, 16740388, 35872264, 50221171, 107616799, 150663520, 322850404

Offset: 1

Klaus Brockhaus, Aug 11 2009

Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Index entries for linear recurrences with constant coefficients, signature (1,3,-3).

Cf. A162766, A164123 (partial sums of A162436).

T:=[ n le 2 select 5-n else 3*Self(n-2): n in [1..33] ]; [ n eq 1 select T[1] else Self(n-1)+T[n]: n in [1..#T]];

LinearRecurrence[{1,3,-3},{4,7,19},40] (* Harvey P. Dale, Aug 28 2016 *)

a(n)=if(n%2,15,7)*3^(n\2)\2-3 \\ Charles R Greathouse IV, Jul 15 2011

a(n) = 3*a(n-2)+7 for n > 2; a(1) = 4, a(2) = 7.
a(n) = (11-4*(-1)^n)*3^(1/4*(2*n-1+(-1)^n))/2-7/2.
G.f.: x*(4+3*x)/((1-x)*(1-3*x^2)).

cp's OEIS Frontend

A162466 a(n) = 12*a(n-2) for n > 2; a(1) = 1, a(2) = 8.

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A164265 Partial sums of A162766.

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