The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A172076

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A172076

a(n) = n*(n+1)*(14*n-11)/6.
(history; published version)

#54 by Charles R Greathouse IV at Thu Sep 08 08:45:50 EDT 2022

PROG

(MAGMAMagma) [n*(n+1)*(14*n-11)/6: n in [0..40]] // G. C. Greubel, Aug 30 2019

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#53 by Joerg Arndt at Sun Apr 12 08:22:57 EDT 2020

STATUS

reviewed

approved

#52 by Michel Marcus at Sun Apr 12 07:57:36 EDT 2020

STATUS

proposed

reviewed

#51 by F. Chapoton at Sun Apr 12 07:55:13 EDT 2020

STATUS

editing

proposed

#50 by F. Chapoton at Sun Apr 12 07:55:07 EDT 2020

PROG

(PARI) vector(40, n, n*(n-1)*(14*n-25)/6) # _\\ _G. C. Greubel_, Aug 30 2019

STATUS

approved

editing

Discussion

Sun Apr 12

07:55

F. Chapoton: fix comment in pari code

#49 by N. J. A. Sloane at Fri Aug 30 22:03:39 EDT 2019

STATUS

proposed

approved

#48 by Jon E. Schoenfield at Fri Aug 30 21:54:37 EDT 2019

STATUS

editing

proposed

#47 by Jon E. Schoenfield at Fri Aug 30 21:54:33 EDT 2019

FORMULA

E.g.f.: x*(6 + 45*x + 14*x^2)*exp(x)/6. - G. C. Greubel, Aug 30 2019

STATUS

proposed

editing

#46 by G. C. Greubel at Fri Aug 30 21:42:47 EDT 2019

STATUS

editing

proposed

#45 by G. C. Greubel at Fri Aug 30 21:42:03 EDT 2019

FORMULA

G.f.: x*(1+13*x)/(1-x)^4. [_- _Bruno Berselli_, Dec 15 2010]

a(n) = Sum_{i=0..n} A051868(i). [_- _Bruno Berselli_, Dec 15 2010]

a(n) = Sum_{i=0..n-1} (n-i)*(14*i+1), with a(0)=0. [_- _Bruno Berselli_, Feb 10 2014]

E.g.f.: x*(6 +45*x +14*x^2)*exp(x)/6. - G. C. Greubel, Aug 30 2019

PROG

(PARI) vector(40, n, n*(n-1)*(14*n-25)/6) # G. C. Greubel, Aug 30 2019

(MAGMA) [n*(n+1)*(14*n-11)/6: n in [0..40]] // G. C. Greubel, Aug 30 2019

(Sage) [n*(n+1)*(14*n-11)/6 for n in (0..40)] # G. C. Greubel, Aug 30 2019

(GAP) List([0..40], n-> n*(n+1)*(14*n-11)/6); # G. C. Greubel, Aug 30 2019

STATUS

approved

editing