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A155485 5^n+(1-4^n)/3. 1
1, 4, 20, 104, 540, 2784, 14260, 72664, 368780, 1865744, 9416100, 47430024, 238548220, 1198333504, 6014037140, 30159664184, 151156234860, 757212830064, 3791790773380, 18981860359144, 95000927764700, 475371142699424, 2378321729000820, 11897472707018904 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

a(n)= A000351(n)-A001045(2n).

a(n)=10a(n-1)-29a(n-2)+20a(n-3), as in A097165.

G.f.: (1-3x)^2/((1-x)(1-4x)(1-5x)). a(n)=A097165(n)-3*A097165(n-1). - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 27 2009

a(n)=(1/3)*(1+3*5^n-4^n), with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Jan 26 2009]

PROG

(MAGMA) [5^n+(1-4^n)/3: n in [0..30]]; // Vincenzo Librandi, Aug 07 2011

CROSSREFS

Sequence in context: A186369 A093440 A168606 * A155181 A082761 A076035

Adjacent sequences:  A155482 A155483 A155484 * A155486 A155487 A155488

KEYWORD

nonn,easy

AUTHOR

Paul Curtz (bpcrtz(AT)free.fr), Jan 23 2009

EXTENSIONS

Edited, Lava definition adopted, and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 27 2009

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Last modified February 16 15:50 EST 2012. Contains 205931 sequences.