This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A014829 a(1)=1, a(n) = 6*a(n-1) + n. 5
 1, 8, 51, 310, 1865, 11196, 67183, 403106, 2418645, 14511880, 87071291, 522427758, 3134566561, 18807399380, 112844396295, 677066377786, 4062398266733, 24374389600416, 146246337602515, 877478025615110 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 FORMULA a(n) = (6^(n+1) - 5*n - 6)/25. - Rolf Pleisch, Oct 25 2010 Binomial transform of x*(1+x)/(1-5*x), or A003948 with a leading 0. a(n) = Sum_{k=0..n} (n-k)*6^k = Sum_{k=0..n} k*6^(n-k); a(n) = Sum_{k=0..n} binomial(n+2, k+2)*5^k [Offset 0]. - Paul Barry, Jul 30 2004 MAPLE a:=n->1/5*sum(6^j-1, j=1..n): seq(a(n), n=1..20); # Zerinvary Lajos, Jun 27 2007 MATHEMATICA Join[{a=1, b=8}, Table[c=7*b-6*a+1; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Feb 06 2011 *) PROG (MAGMA) [(6^(n+1)-5*n-6)/25: n in [1..30]]; // Vincenzo Librandi, Aug 23 2011 CROSSREFS Sequence in context: A037697 A037606 A055147 * A048438 A295602 A226199 Adjacent sequences:  A014826 A014827 A014828 * A014830 A014831 A014832 KEYWORD nonn,easy AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 6 14:15 EST 2019. Contains 329806 sequences. (Running on oeis4.)