The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A100187

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A100187

Structured octagonal anti-diamond numbers (vertex structure 7).
(history; published version)

#24 by Charles R Greathouse IV at Thu Sep 08 08:45:15 EDT 2022

PROG

(MAGMAMagma) [(1/6)*(26*n^3-30*n^2+10*n): n in [1..40]]; // Vincenzo Librandi, Aug 18 2011

Discussion

Thu Sep 08

08:45

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

#23 by Peter Luschny at Fri Nov 09 04:14:28 EST 2018

STATUS

reviewed

approved

#22 by Michel Marcus at Fri Nov 09 03:38:42 EST 2018

STATUS

proposed

reviewed

#21 by Jon E. Schoenfield at Fri Nov 09 03:37:56 EST 2018

STATUS

editing

proposed

#20 by Jon E. Schoenfield at Fri Nov 09 03:37:53 EST 2018

FORMULA

E.g.f.: (3*x + 24*x^2 + 13*x^3)*exp(x)/3. - G. C. Greubel, Nov 08 2018

STATUS

reviewed

editing

#19 by Michel Marcus at Fri Nov 09 01:09:31 EST 2018

STATUS

proposed

reviewed

#18 by G. C. Greubel at Thu Nov 08 22:50:22 EST 2018

STATUS

editing

proposed

#17 by G. C. Greubel at Thu Nov 08 22:50:07 EST 2018

FORMULA

E.g.f.: (3*x +24*x^2 +13*x^3)*exp(x)/3. - G. C. Greubel, Nov 08 2018

PROG

(MAGMA) [(1/6)*(26*n^3-30*n^2+10*n): n in [1..40]]; // _Vincenzo Librandi, _, Aug 18 2011

(PARI) vector(40, n, (13*n^3 -15*n^2 +5*n)/3) \\ G. C. Greubel, Nov 08 2018

STATUS

proposed

editing

#16 by Jon E. Schoenfield at Thu Nov 08 22:04:31 EST 2018

STATUS

editing

proposed

#15 by Jon E. Schoenfield at Thu Nov 08 22:04:29 EST 2018

FORMULA

a(n) = (1/6)*(26*n^3 - 30*n^2 + 10*n).

G.f.: x*(1 + 14*x + 11*x^2)/(1-x)^4. - _Colin Barker, _, Jan 19 2012

a(1)=1, a(2)=18, a(3)=77, a(4)=204, a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4); a(1)=1, a(2)=18, a(3)=77, a(4)=204. - Harvey P. Dale, Dec 24 2012

STATUS

approved

editing