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A026020
a(n) = binomial(4n, n) - binomial(4n, n - 3).
2
1, 4, 28, 219, 1804, 15314, 132572, 1163565, 10316924, 92195488, 829016968, 7492106505, 67991427828, 619193535380, 5655829748520, 51794730347745, 475390078267356, 4371917301657488, 40276635724273936
OFFSET
0,2
LINKS
FORMULA
G.f.: (g - 2)*(1 - g + g^2)*g/(3*g - 4) where g = 1 + x*g^4 is the g.f. of A002293. - Mark van Hoeij, Nov 11 2011
a(n) = A005810(n) - A004333(n) for n > 2 - Felix Fröhlich, Jun 06 2019
MAPLE
A026020:= n-> binomial(4*n, n) - binomial(4*n, n-3); seq(A026020(n), n=0..20); # G. C. Greubel, Mar 22 2021
MATHEMATICA
Table[Binomial[4n, n] - Binomial[4n, n - 3], {n, 0, 19}] (* Alonso del Arte, Jun 06 2019 *)
PROG
(PARI) a(n) = binomial(4*n, n) - binomial(4*n, n-3) \\ Felix Fröhlich, Jun 06 2019
(Magma) [Binomial(4*n, n) - Binomial(4*n, n-3): n in [0..20]]; // G. C. Greubel, Mar 22 2021
(Sage) [binomial(4*n, n) - binomial(4*n, n-3) for n in (0..20)] # G. C. Greubel, Mar 22 2021
CROSSREFS
a(n) = T(4n, n), where T is the array defined in A026009.
Bisections are A026012 and A026016.
Sequence in context: A039741 A130185 A182432 * A243116 A026033 A005810
KEYWORD
nonn
STATUS
approved