login

Revision History for A086027

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = Sum_{i=1..n} binomial(i+5,6)^2.
(history; published version)
#28 by Ray Chandler at Sun Jun 11 12:10:03 EDT 2023
STATUS

editing

approved

#27 by Ray Chandler at Sun Jun 11 12:10:00 EDT 2023
LINKS

<a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (14, -91, 364, -1001, 2002, -3003, 3432, -3003, 2002, -1001, 364, -91, 14, -1).

STATUS

approved

editing

#26 by Charles R Greathouse IV at Thu Sep 08 08:45:11 EDT 2022
PROG

(MAGMAMagma) [n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)*(n+6)*(77*n^6 +1386*n^5 +9380*n^4 + 29400*n^3 +41783*n^2 +20874*n +60)/518918400: n in [1..30]]; // G. C. Greubel, Nov 22 2017

Discussion
Thu Sep 08
08:45
OEIS Server: https://oeis.org/edit/global/2944
#25 by Joerg Arndt at Wed Aug 28 03:35:06 EDT 2019
STATUS

reviewed

approved

#24 by Michel Marcus at Wed Aug 28 02:31:44 EDT 2019
STATUS

proposed

reviewed

#23 by Jon E. Schoenfield at Wed Aug 28 01:34:43 EDT 2019
STATUS

editing

proposed

#22 by Jon E. Schoenfield at Wed Aug 28 01:34:40 EDT 2019
NAME

a(n) = Sum_{i=1..n} Cbinomial(i+5,6)^2.

FORMULA

G.f.: x*(1 + 36*x + 225*x^2 + 400*x^3 + 225*x^4 + 36*x^5 + x^6)/(1-x)^14.

a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)*(n+6)*(77*n^6 + 1386*n^5 + 9380*n^4 + 29400*n^3 + 41783*n^2 + 20874*n + 60)/518918400. (End)

STATUS

reviewed

editing

#21 by Michel Marcus at Wed Aug 28 00:58:04 EDT 2019
STATUS

proposed

reviewed

#20 by G. C. Greubel at Tue Aug 27 18:40:43 EDT 2019
STATUS

editing

proposed

#19 by G. C. Greubel at Tue Aug 27 18:40:21 EDT 2019
PROG

(PARI) forvector(n=1, 30, print1(n, sum(i=1, n, binomial(i+5, 6)^2), ", ") ) \\ G. C. Greubel, Nov 22 2017

(Sage) [sum(binomial(j+5, 6)^2 for j in (1..n)) for n in (1..30)] # G. C. Greubel, Aug 27 2019

(GAP) List([1..30], n-> Sum([1..n], j-> Binomial(j+5, 6)^2)); # G. C. Greubel, Aug 27 2019

STATUS

approved

editing