The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A161921 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A161921

The bisection A053445(2n+1).
(history; published version)

#8 by Harvey P. Dale at Mon Sep 02 14:42:17 EDT 2013

STATUS

editing

approved

#7 by Harvey P. Dale at Mon Sep 02 14:42:12 EDT 2013

MATHEMATICA

Take[Differences[Table[PartitionsP[n], {n, 0, 100}], 2], {2, -1, 2}] (* Harvey P. Dale, Sep 02 2013 *)

STATUS

approved

editing

#6 by Russ Cox at Sat Mar 31 13:23:39 EDT 2012

AUTHOR

_Alford Arnold (Alford1940(AT)aol.com), _, Jul 05 2009

Discussion

Sat Mar 31

13:23

OEIS Server: https://oeis.org/edit/global/889

#5 by Nathaniel Johnston at Fri Apr 29 23:49:54 EDT 2011

STATUS

proposed

approved

#4 by Nathaniel Johnston at Fri Apr 29 23:49:50 EDT 2011

DATA

0, 0, 0, 1, 2, 3, 7, 11, 17, 28, 43, 63, 96, 139, 199, 287, 406, 566, 792, 1092, 1496, 2045, 2772, 3733, 5016, 6696, 8897, 11784, 15534, 20391, 26692, 34797, 45207, 58564, 75614, 97328, 124953, 159945, 204185, 260025, 330286, 418506, 529106, 667380, 839938

LINKS

Nathaniel Johnston, <a href="/A161921/b161921.txt">Table of n, a(n) for n = 0..2500</a>

CROSSREFS

Cf. A160644 (the other bisection) , A160643 (first differences of a(n)).

STATUS

approved

proposed

#3 by N. J. A. Sloane at Wed Dec 15 19:23:29 EST 2010

STATUS

proposed

approved

#2 by R. J. Mathar at Wed Dec 15 17:34:18 EST 2010

NAME

Second of two sequences bisecting the second differences of the unrestricted partition sequence. (See A053445)

The bisection A053445(2n+1).

DATA

0, 0, 0, 1, 2, 3, 7, 11, 17, 28, 43, 63, 96, 139, 199, 287, 406, 566, 792, 1092, 1496, 2045, 2772, 3733, 5016, 6696, 8897

OFFSET

1,0,5

EXAMPLE

A053445 begins 1 0 1 0 2 0 3 1 4 2 7 3 10 7 14 11 22 17 32 28 45 43 67 63 ...

therefore a(n) begins 0 0 0 1 2 3 7 11 17 28 43 63 ...

KEYWORD

easy,nonn,uned

STATUS

approved

proposed

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

Second of two sequences bisecting the second differences of the unrestricted partition sequence. (See A053445)

DATA

0, 0, 0, 1, 2, 3, 7, 11, 17, 28, 43, 63, 96, 139, 199, 287, 406, 566

OFFSET

1,5

EXAMPLE

A053445 begins 1 0 1 0 2 0 3 1 4 2 7 3 10 7 14 11 22 17 32 28 45 43 67 63 ...

therefore a(n) begins 0 0 0 1 2 3 7 11 17 28 43 63 ...

CROSSREFS

A160644 (the other bisection) A160643(first differences of a(n)

KEYWORD

easy,nonn,uned

AUTHOR

Alford Arnold (Alford1940(AT)aol.com), Jul 05 2009

STATUS

approved