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A103177 (7*3^n + 2n + 5)/4. 0
3, 7, 18, 50, 145, 429, 1280, 3832, 11487, 34451, 103342, 310014, 930029, 2790073, 8370204, 25110596, 75331771, 225995295, 677985866, 2033957578, 6101872713, 18305618117, 54916854328, 164750562960, 494251688855, 1482755066539 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

A floretion-generated sequence relating sequences A007051 and A047926. (a(n)) results from a force transform of the sequence of powers of 3.

LINKS

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (5,-7,3).

FORMULA

a(n) = 2*A007051(n) + A047926(n).

a(n) = 5*a(n-1)-7*a(n-2)+3*a(n-3). G.f.: (3-2*x)*(1-2*x)/((1-x)^2*(1-3*x)). [Colin Barker, Aug 28 2012]

MATHEMATICA

Table[(7*3^n+2*n+5)/4, {n, 0, 25}]  (* Harvey P. Dale, Feb 23 2011 *)

PROG

Floretion Algebra Multiplication Program, FAMP Code: 4jesleftforseq[A*B] with A = - .25'i - .25i' - .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' - .25e and B = + 'i + .5j' + .5k' + .5'ij' + .5'ik', 1vesforseq[A*B](n) = 3^(n+1), ForType: 1A.

CROSSREFS

Cf. A007051, A047926.

Sequence in context: A218250 A267799 A218783 * A262784 A202261 A180166

Adjacent sequences:  A103174 A103175 A103176 * A103178 A103179 A103180

KEYWORD

nonn,easy

AUTHOR

Creighton Dement, Mar 17 2005

EXTENSIONS

More terms from Harvey P. Dale, Feb 23 2011

STATUS

approved

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Last modified November 23 20:23 EST 2017. Contains 295141 sequences.