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A341735
a(n) = A007678(2*n+1).
3
0, 1, 11, 50, 154, 375, 781, 1456, 2500, 4029, 6175, 9086, 12926, 17875, 24129, 31900, 41416, 52921, 66675, 82954, 102050, 124271, 149941, 179400, 213004, 251125, 294151, 342486, 396550, 456779, 523625, 597556, 679056, 768625, 866779, 974050, 1090986, 1218151, 1356125
OFFSET
0,3
FORMULA
From Bruno Berselli, Mar 08 2021: (Start)
G.f.: x*(1 + 6*x + 5*x^2 + 4*x^3)/(1 - x)^5.
a(n) = n*(2*n - 1)*(2*n^2 - n + 5)/6. (End)
MATHEMATICA
Table[n (2 n - 1) (2 n^2 - n + 5)/6, {n, 0, 40}] (* Bruno Berselli, Mar 08 2021 *)
PROG
(Julia) [div(n*(2*n-1)*(2*n^2-n+5), 6) for n in 0:40] |> println # Bruno Berselli, Mar 08 2021
CROSSREFS
Cf. A007678.
See A341734 for the other bisection (rescaled).
Sequence in context: A215728 A185019 A212560 * A340130 A211920 A167423
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Bruno Berselli, Mar 08 2021
STATUS
approved