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A184017 n-1+ceiling((n/3)^2); complement of A184016. 1
1, 2, 3, 5, 7, 9, 12, 15, 17, 21, 24, 27, 31, 35, 39, 44, 49, 53, 59, 64, 69, 75, 81, 87, 94, 101, 107, 115, 122, 129, 137, 145, 153, 162, 171, 179, 189, 198, 207, 217, 227, 237, 248, 259, 269, 281, 292, 303, 315, 327, 339, 352, 365, 377, 391, 404, 417, 431, 445, 459, 474, 489, 503, 519, 534, 549, 565, 581, 597, 614, 631, 647, 665, 682, 699, 717, 735, 753, 772, 791 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..80.

Index entries for linear recurrences with constant coefficients, signature (2,-1,0,0,0,0,0,0,1,-2,1).

FORMULA

G.f.: x*(x^2+1)*(x^8-x^7+x^5-x^4-x^3+x^2-1)/((x-1)^3*(x^2+x+1)*(x^6+x^3+1)). [Colin Barker, Sep 23 2012]

MATHEMATICA

a=9; b=0;

Table[n+Floor[(a*n+b)^(1/2)], {n, 100}]

Table[n-1+Ceiling[(n*n-b)/a], {n, 80}]

CROSSREFS

Sequence in context: A293262 A200049 A279984 * A024195 A071423 A211004

Adjacent sequences:  A184014 A184015 A184016 * A184018 A184019 A184020

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jan 09 2011

STATUS

approved

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Last modified October 29 21:59 EDT 2020. Contains 338074 sequences. (Running on oeis4.)