A037458 - OEIS

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A037458

a(1)=1; for n > 1, a(n) = n - a(n-floor(sqrt(n))).

2

1, 1, 2, 3, 3, 3, 4, 5, 6, 6, 6, 6, 7, 8, 9, 10, 10, 10, 10, 10, 11, 12, 13, 14, 15, 15, 15, 15, 15, 15, 16, 17, 18, 19, 20, 21, 21, 21, 21, 21, 21, 21, 22, 23, 24, 25, 26, 27, 28, 28, 28, 28, 28, 28, 28, 28, 29, 30, 31, 32, 33, 34, 35, 36, 36, 36, 36, 36, 36, 36, 36, 36, 37, 38

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..74.

FORMULA

a(n) = (1/2)*(n + A053615(n)).

PROG

(PARI) a(n)=if(n<2, 1, n-a(n-sqrtint(n)))

CROSSREFS

Cf. A028391, A053615.

Sequence in context: A304110 A051134 A347777 * A296816 A064474 A072688

Adjacent sequences: A037455 A037456 A037457 * A037459 A037460 A037461

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Dec 22 2002

EXTENSIONS

Corrected by Franklin T. Adams-Watters, Oct 25 2006

STATUS

approved