The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A053700 a(n) = 111111 in base n. 13
 6, 63, 364, 1365, 3906, 9331, 19608, 37449, 66430, 111111, 177156, 271453, 402234, 579195, 813616, 1118481, 1508598, 2000719, 2613660, 3368421, 4288306, 5399043, 6728904, 8308825, 10172526, 12356631, 14900788, 17847789, 21243690, 25137931 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1). FORMULA a(n) = n^5 + n^4 + n^3 + n^2 + n + 1 = (n^6-1)/(n-1). G.f.: x*(6 + 27*x + 76*x^2 + 6*x^3 + 6*x^4 - x^5)/(1-x)^6. - Colin Barker, May 08 2012 EXAMPLE a(3)=364 because 111111 base 3 = 243 + 81 + 27 + 9 + 3 + 1 = 121. MATHEMATICA Table[(n^5+n^4+n^3+n^2+n+1), {n, 0, 5!}] (* Vladimir Joseph Stephan Orlovsky, Mar 06 2010 *) PROG (PARI) a(n)=(n^6-1)/(n-1) \\ Charles R Greathouse IV, Sep 28 2015 CROSSREFS Sequence in context: A027811 A027950 A184447 * A296393 A123615 A245754 Adjacent sequences:  A053697 A053698 A053699 * A053701 A053702 A053703 KEYWORD base,nonn,easy AUTHOR Henry Bottomley, Mar 23 2000 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 August 5 08:27 EDT 2021. Contains 346464 sequences. (Running on oeis4.)