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A061801 (7*6^n - 2)/5. 4
1, 8, 50, 302, 1814, 10886, 65318, 391910, 2351462, 14108774, 84652646, 507915878, 3047495270, 18284971622, 109709829734, 658258978406, 3949553870438, 23697323222630, 142183939335782, 853103636014694 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Sum of n-th row of triangle of powers of 6: 1; 1 6 1; 1 6 36 6 1; 1 6 36 216 36 6 1; ....

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,200

FORMULA

G.f.:x*(1+x)/(1-6*x)/(1-x) [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 11 2009]

EXAMPLE

a(2) = 50 = 1 + 6 + 36 + 6 + 1.

MAPLE

restart:g:=x*(1+x)/(1-6*x)/(1-x): gser:=series(g, x=0, 43): seq(coeff(gser, x, n), n=1..30); [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 11 2009]

PROG

(PARI) { for (n=0, 200, write("b061801.txt", n, " ", (7*6^n - 2)/5) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 28 2009]

CROSSREFS

Cf. A057651.

Sequence in context: A115598 A127745 A037547 * A180029 A133129 A103458

Adjacent sequences:  A061798 A061799 A061800 * A061802 A061803 A061804

KEYWORD

nonn,easy

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), May 28 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org) and Jason Earls (zevi_35711(AT)yahoo.com), May 28 2001. Better description from Dean Hickerson, Jun 06 2001.

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Last modified February 16 08:13 EST 2012. Contains 205893 sequences.