The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A141407 a(n) = binomial(n+7,7)*6^n. 4
 1, 48, 1296, 25920, 427680, 6158592, 80061696, 960740352, 10808328960, 115288842240, 1175946190848, 11545653510144, 109683708346368, 1012465000120320, 9112185001082880, 80187228009529344, 691614841582190592 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS With a different offset, number of n-permutations (n>=7) of 7 objects: s, t, u, v, z, x, y with repetition allowed, containing exactly seven (7) u's. If n=7 then a(0)= 1 because we have uuuuuuu a(1)=48 because we have uuuuuuus, uuuuuuut, uuuuuuuv, uuuuuuuz, uuuuuuux, uuuuuuuy, uuuuuusu, uuuuuutu, uuuuuuvu, uuuuuuzu, uuuuuuxu, uuuuuuyu, uuuuusuu, uuuuutuu, uuuuuvuu, uuuuuzuu, uuuuuxuu, uuuuuyuu, uuuusuuu, uuuutuuu, uuuuvuuu, uuuuzuuu, uuuuxuuu, uuuuyuuu, uuusuuuu, uuutuuuu, uuuvuuuu, uuuzuuuu, uuuxuuuu, uuuyuuuu, uusuuuuu, uutuuuuu, uuvuuuuu, uuzuuuuu, uuxuuuuu, uuyuuuuu, usuuuuuu, utuuuuuu, uvuuuuuu, uzuuuuuu, uxuuuuuu, uyuuuuuu, suuuuuuu, tuuuuuuu, vuuuuuuu, zuuuuuuu, xuuuuuuu, yuuuuuuu. LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..400 Index entries for linear recurrences with constant coefficients, signature (48,-1008,12096,-90720,435456,-1306368,2239488,-1679616). FORMULA O.g.f.: 1/(1-6x)^8. - R. J. Mathar, Aug 08 2008 a(n) = 48*a(n-1) - 1008*a(n-2) + 12096*a(n-3) - 90720*a(n-4) + 435456*a(n-5) - 1306368*a(n-6) + 2239488*a(n-7) - 1679616*a(n-8) for n > 7. - Chai Wah Wu, Nov 12 2021 MAPLE seq(binomial(n+7, 7)*6^n, n=0..16); MATHEMATICA Table[Binomial[n + 7, 7] 6^n, {n, 0, 16}] (* Michael De Vlieger, Jul 24 2017 *) PROG (Sage)[lucas_number2(n, 6, 0)*binomial(n, 7)/6^7for n in range(7, 24)] # Zerinvary Lajos, Mar 13 2009 (MAGMA) [6^n* Binomial(n+7, 7): n in [0..20]]; // Vincenzo Librandi, Oct 12 2011 (PARI) vector(15, n, binomial(n+6, 7)*6^(n-1)) \\ Derek Orr, Jul 24 2017 CROSSREFS Cf. A038255. Sequence in context: A285169 A163272 A165283 * A004341 A222199 A288459 Adjacent sequences:  A141404 A141405 A141406 * A141408 A141409 A141410 KEYWORD nonn,easy AUTHOR Zerinvary Lajos, Aug 04 2008 STATUS approved

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

Last modified August 8 21:55 EDT 2022. Contains 356016 sequences. (Running on oeis4.)