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A235963 n appears (n+1)/(1 + (n mod 2)) times. 6
0, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

n appears A001318(n+1) - A001318(n) = A026741(n+1) times.

Sum_{k=0...a(n)} (-1)^ceiling(k/2)*p(n-G(k)) = 0 for n>0, where p(n)=A000041(n) is the partition function, and G(k)=A001318(k) denotes the generalized pentagonal numbers.

Row lengths of A238442, n >= 1. - Omar E. Pol, Dec 22 2016

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

FORMULA

Let t = (sqrt(n*8/3 + 1) - 1)/2 + 1/3 and let k = floor(t); then a(n) = 2k if t - k < 2/3, 2k+1 otherwise. - Jon E. Schoenfield, Jun 13 2017

MATHEMATICA

Table[Table[n, {(n + 1)/(1 + Mod[n, 2])}], {n, 0, 14}]//Flatten (* T. D. Noe, Jan 29 2014 *)

CROSSREFS

Cf. A000041, A001318, A026741, A238442.

Sequence in context: A345380 A028829 A130855 * A100196 A278078 A094708

Adjacent sequences:  A235960 A235961 A235962 * A235964 A235965 A235966

KEYWORD

nonn

AUTHOR

Mircea Merca, Jan 17 2014

STATUS

approved

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Last modified August 4 15:33 EDT 2021. Contains 346447 sequences. (Running on oeis4.)