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A340507 a(n) = floor(sqrt(2*n)) - A003056(n). 1
0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

This is A172471 - A003056.

Conjecture: This is an unsigned version of A072785.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..20000

PROG

(PARI) a(n) = sqrtint(2*n) - (sqrtint(8*n+1)-1)\2; \\ Michel Marcus, Jan 25 2021

(Python)

from math import isqrt

def A340507(n): return isqrt(m:=n<<1)-(isqrt((m<<2)+1)-1>>1) # Chai Wah Wu, Aug 09 2022

CROSSREFS

Cf. A003056, A072785, A172471.

Sequence in context: A288520 A285177 A144595 * A072785 A188297 A289128

Adjacent sequences:  A340504 A340505 A340506 * A340508 A340509 A340510

KEYWORD

nonn,changed

AUTHOR

N. J. A. Sloane, Jan 25 2021

STATUS

approved

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Last modified August 18 04:47 EDT 2022. Contains 356204 sequences. (Running on oeis4.)