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A365418
Partial sums of A301298.
1
1, 6, 15, 29, 48, 71, 99, 132, 169, 211, 258, 309, 365, 426, 491, 561, 636, 715, 799, 888, 981, 1079, 1182, 1289, 1401, 1518, 1639, 1765, 1896, 2031, 2171, 2316, 2465, 2619, 2778, 2941, 3109, 3282, 3459, 3641, 3828, 4019, 4215, 4416, 4621, 4831, 5046, 5265, 5489, 5718, 5951, 6189, 6432, 6679, 6931, 7188, 7449
OFFSET
0,2
FORMULA
G.f.: -(x^4 + 4*x^3 + 4*x^2 + 4x + 1)/((x - 1)^3*(x^2 + x + 1)).
a(n) = 2*a(n-1) - a(n-2) + a(n-3) - 2*a(n-4) + a(n-5) for n > 5.
MATHEMATICA
LinearRecurrence[{2, -1, 1, -2, 1}, {1, 6, 15, 29, 48}, 50]
CROSSREFS
Cf. A301298.
Sequence in context: A263896 A295979 A338488 * A180953 A200184 A005286
KEYWORD
nonn,easy
AUTHOR
Ray Chandler, Sep 03 2023
STATUS
approved