The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A071994 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A071994

a(n) = Sum_{k=1..n} A003159(k).
(history; published version)

#9 by Michel Marcus at Sun Jan 16 09:17:57 EST 2022

STATUS

reviewed

approved

#8 by Joerg Arndt at Sun Jan 16 08:22:25 EST 2022

STATUS

proposed

reviewed

#7 by Amiram Eldar at Sun Jan 16 02:50:01 EST 2022

STATUS

editing

proposed

#6 by Amiram Eldar at Sun Jan 16 02:33:13 EST 2022

NAME

a(n) = sum( Sum_{k=1, ..n, } A003159(k) ).

LINKS

Amiram Eldar, <a href="/A071994/b071994.txt">Table of n, a(n) for n = 1..10000</a>

FORMULA

a(n) ~ 3*n^2/4 + O(n*log(n)). - Amiram Eldar, Jan 16 2022

MATHEMATICA

Accumulate @ Select[Range[100], EvenQ[IntegerExponent[#, 2]] &] (* Amiram Eldar, Jan 16 2022 *)

CROSSREFS

Cf. A003159.

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 18:39:03 EDT 2012

AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, Jun 17 2002

Discussion

Fri Mar 30

18:39

OEIS Server: https://oeis.org/edit/global/216

#4 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

KEYWORD

easy,nonn,new

AUTHOR

Benoit Cloitre (abmtbenoit7848c(AT)wanadooorange.fr), Jun 17 2002

#3 by N. J. A. Sloane at Wed Sep 21 03:00:00 EDT 2005

KEYWORD

easy,nonn,new

AUTHOR

Benoit Cloitre (abcloitreabmt(AT)modulonetwanadoo.fr), Jun 17 2002

#2 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005

KEYWORD

easy,nonn,new

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoomodulonet.fr), Jun 17 2002

#1 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

NAME

a(n) = sum( k=1, n, A003159(k) ).

DATA

1, 4, 8, 13, 20, 29, 40, 52, 65, 80, 96, 113, 132, 152, 173, 196, 221, 248, 276, 305, 336, 369, 404, 440, 477, 516, 557, 600, 644, 689, 736, 784, 833, 884, 936, 989, 1044, 1101, 1160, 1220, 1281, 1344, 1408, 1473, 1540, 1608, 1677, 1748, 1821, 1896, 1972, 2049

OFFSET

1,2

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre (abcloitre(AT)wanadoo.fr), Jun 17 2002

STATUS

approved