OFFSET
0,2
REFERENCES
A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
a(n) = C(n+5, 5)*(7*n+6)/6.
G.f.: (1+6*x)/(1-x)^7.
E.g.f.: (5! +8640*x +16200*x^2 +9600*x^3 +2250*x^4 +216*x^5 +7*x^6 )*exp(x)/5!. - G. C. Greubel, Aug 29 2019
MAPLE
Seq((7*n+6)*binomial(n+5, 5)/6, n=0..30); # G. C. Greubel, Aug 29 2019
MATHEMATICA
Table[(7*n+6)*Binomial[n+5, 5]/6, {n, 0, 30}] (* G. C. Greubel, Aug 29 2019 *)
PROG
(PARI) a(n) = binomial(n+5, 5)*(7*n+6)/6; \\ Michel Marcus, Jan 09 2015
(Magma) [(7*n+6)*Binomial(n+5, 5)/6: n in [0..30]]; // G. C. Greubel, Aug 29 2019
(Sage) [(7*n+6)*binomial(n+5, 5)/6 for n in (0..30)] # G. C. Greubel, Aug 29 2019
(GAP) List([0..30], n-> (7*n+6)*Binomial(n+5, 5)/6); # G. C. Greubel, Aug 29 2019
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Barry E. Williams, Dec 21 1999
EXTENSIONS
Corrected by T. D. Noe, Nov 09 2006
Terms a(28) onward added by G. C. Greubel, Aug 29 2019
STATUS
approved