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 A061801 (7*6^n - 2)/5. 10
 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; text; 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.: (1+x)/(1-6*x)/(1-x) [Zerinvary Lajos, Jan 11 2009] a(n) = 6*a(n-1) + 2, a(0) = 1. - Philippe Deléham, Feb 23 2014 a(n) = Sum_{k=0..n} A112468(n,k)*7^k. - Philippe Deléham, Feb 23 2014 EXAMPLE a(2) = 50 = 1 + 6 + 36 + 6 + 1. G.f. = 1 + 8*x + 50*x^2 + 302*x^3 + 1814*x^4 + 10886*x^5 + 65318*x^6 + ... MAPLE restart:g:=(1+x)/(1-6*x)/(1-x): gser:=series(g, x=0, 43): seq(coeff(gser, x, n), n=0..30); # Zerinvary Lajos, Jan 11 2009 PROG (PARI) { for (n=0, 200, write("b061801.txt", n, " ", (7*6^n - 2)/5) ) } \\ Harry J. Smith, Jul 28 2009 CROSSREFS Cf. A057651, A112468, A112739. Sequence in context: A127745 A243876 A037547 * A240050 A221478 A287812 Adjacent sequences:  A061798 A061799 A061800 * A061802 A061803 A061804 KEYWORD nonn,easy AUTHOR Amarnath Murthy, May 28 2001 EXTENSIONS More terms from Larry Reeves (larryr(AT)acm.org) and Jason Earls, May 28 2001. Better description from Dean Hickerson, Jun 06 2001 Divided g.f. by x to match the offset. - Philippe Deléham, Feb 23 2014 STATUS approved

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Last modified May 25 22:17 EDT 2019. Contains 323576 sequences. (Running on oeis4.)