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A213299 Partial sums of A211681. 2
2, 5, 10, 17, 40, 77, 130, 203, 440, 813, 1350, 2087, 4460, 8197, 13570, 20943, 44680, 82053, 135790, 209527, 446900, 820637, 1358010, 2095383, 4469120, 8206493, 13580230, 20953967, 44691340 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The terms are primes for n = 1, 2, 4, 12, 22, 32 and possibly further n’s (Question).

LINKS

Hieronymus Fischer, Table of n, a(n) for n = 1..100

FORMULA

a(n) = ((3982 + 2709*k + 567*k^2 + 54*k^3)*10^m - 1980*m - 2200 - 495*k + 162*((n+1) mod 2) * (-1)^m * (-1)^floor(n/2))/891, where m=floor((n-1)/4), k=(n-1) mod 4.

G.f.: (2*x*(1+x^10) + 3*x^2*(1 + x^3 + x^5 + x^6) + 5*x^3*(1+x^6) + 7*x^4*(1+x^2))/((1-x)*(1-10*x^4)*(1-x^8)).

CROSSREFS

Cf. A019546, A035232, A039996, A046034, A085823, A211681, A211682.

Sequence in context: A054964 A057752 A173057 * A172114 A146010 A077631

Adjacent sequences:  A213296 A213297 A213298 * A213300 A213301 A213302

KEYWORD

nonn,easy,base

AUTHOR

Hieronymus Fischer, Jun 08 2012

EXTENSIONS

Typo in g.f. corrected by Hieronymus Fischer, Sep 03 2012

STATUS

approved

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Last modified January 18 20:19 EST 2018. Contains 297865 sequences.