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A062762 Number of powerful numbers not exceeding 2^n. 0
1, 1, 2, 3, 5, 8, 11, 18, 26, 38, 55, 80, 116, 166, 240, 345, 497, 710, 1016, 1453, 2073, 2955, 4211, 5992, 8523, 12111, 17202, 24423, 34648, 49152, 69694, 98795, 140009, 198378, 281016, 398002, 563612, 797999, 1129737, 1599166, 2263457, 3203381 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..41.

FORMULA

Number of terms x from A001694 for which x<= 2^n.

EXAMPLE

Below 128 {1,4,8,9,16,25,..,100,108,121,125,128} 18 powerful numbers can be found, so a(7)=18

CROSSREFS

Cf. A001694, A029837, A036380, A036386.

Sequence in context: A135908 A056891 A065462 * A004693 A272136 A254308

Adjacent sequences:  A062759 A062760 A062761 * A062763 A062764 A062765

KEYWORD

nonn

AUTHOR

Labos Elemer, Jul 16 2001

EXTENSIONS

a(19)-a(41) from Donovan Johnson, Oct 01 2009

STATUS

approved

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Last modified August 24 05:48 EDT 2017. Contains 291052 sequences.