A301286 Partial sums of A301285.

1, 4, 10, 20, 32, 46, 66, 89, 111, 138, 172, 206, 240, 280, 326, 373, 419, 470, 530, 590, 646, 710, 784, 855, 923, 1000, 1086, 1170, 1250, 1338, 1438, 1535, 1625, 1726, 1840, 1948, 2050, 2164, 2290, 2411, 2525, 2650, 2790, 2924, 3048, 3186, 3340, 3485, 3621, 3772, 3938

Offset

0,2

Links

Table of n, a(n) for n=0..50.

Formula

Conjectures from Chai Wah Wu, Sep 05 2023: (Start)

a(n) = 2*a(n-1) - 3*a(n-2) + 5*a(n-3) - 5*a(n-4) + 5*a(n-5) - 5*a(n-6) + 3*a(n-7) - 2*a(n-8) + a(n-9) for n > 8.

G.f.: (-x^8 - 2*x^7 - 5*x^6 - 7*x^5 - 7*x^4 - 7*x^3 - 5*x^2 - 2*x - 1)/((x - 1)^3*(x^2 + 1)^2*(x^2 + x + 1)). (End)

Crossrefs

Cf. A301285.

Sequence in context: A357837 A008128 A008094 * A008083 A301023 A008050

Adjacent sequences: A301283 A301284 A301285 * A301287 A301288 A301289

Keyword

nonn

Author

N. J. A. Sloane, Mar 23 2018

Status

approved