The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A049480

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A049480

a(n) = (2*n-1)*(n^2 -n +6)/6.
(history; published version)

#27 by Charles R Greathouse IV at Thu Sep 08 08:44:58 EDT 2022

PROG

(MAGMAMagma) [(2*n-1)*(n^2-n+6)/6: n in [1..30]]; // G. C. Greubel, Dec 01 2017

Discussion

Thu Sep 08

08:44

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

#26 by Bruno Berselli at Fri Dec 01 03:05:38 EST 2017

STATUS

proposed

approved

#25 by Michel Marcus at Fri Dec 01 01:11:29 EST 2017

STATUS

editing

proposed

#24 by Michel Marcus at Fri Dec 01 01:11:16 EST 2017

REFERENCES

T. P. Martin, Shells of atoms, Phys. Reports, 273 (1996), 199-241, eq. (10).

LINKS

T. P. Martin, <a href="http://dx.doi.org/10.1016/0370-1573(95)00083-6">Shells of atoms</a>, Phys. Rep., 273 (1996), 199-241, eq. (10).

STATUS

proposed

editing

#23 by Michel Marcus at Fri Dec 01 00:54:22 EST 2017

STATUS

editing

proposed

#22 by Michel Marcus at Fri Dec 01 00:53:56 EST 2017

FORMULA

Contribution from _From _Harvey P. Dale_, Jan 01 2012: (Start)

a(1n) = 4*a(n-1, )-6*a(n-2)=+4, *a(n-3)=10, a(4)=21, -a(n) = -4*); a(n-1)-6*=1, a(n-2)+ =4*, a(n-3)- =10, a(n-4)=21. (End)

STATUS

proposed

editing

#21 by G. C. Greubel at Fri Dec 01 00:48:21 EST 2017

STATUS

editing

proposed

#20 by G. C. Greubel at Fri Dec 01 00:48:12 EST 2017

PROG

(PARI) x='x+O('x^30); Vec(serlaplace((-6 + 12*x + 3*x^2 + 2*x^3)*exp(x)/6 + 1)) \\ G. C. Greubel, Dec 01 2017

#19 by G. C. Greubel at Fri Dec 01 00:46:43 EST 2017

NAME

a(n) = (2*n-1)*(n^2 -n +6)/6.

FORMULA

Contribution from _Harvey P. Dale, _, Jan 01 2012: (Start)

G.f.: x*(x^3 + 1)/(x-1)^4.

E.g.f.: (-6 + 12*x + 3*x^2 + 2*x^3)*exp(x)/6 + 1. - G. C. Greubel, Dec 01 2017

PROG

(MAGMA) [(2*n-1)*(n^2-n+6)/6: n in [1..30]]; // G. C. Greubel, Dec 01 2017

STATUS

approved

editing

#18 by Charles R Greathouse IV at Thu Sep 24 11:55:01 EDT 2015

STATUS

editing

approved