The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A060888 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A060888

a(n) = n^6 - n^5 + n^4 - n^3 + n^2 - n + 1.
(history; published version)

#36 by Michael De Vlieger at Sun Apr 23 07:26:40 EDT 2023

STATUS

reviewed

approved

#35 by Michel Marcus at Sun Apr 23 03:04:57 EDT 2023

STATUS

proposed

reviewed

#34 by Stefano Spezia at Sat Apr 22 15:23:33 EDT 2023

STATUS

editing

proposed

#33 by Stefano Spezia at Sat Apr 22 14:42:37 EDT 2023

DATA

1, 1, 43, 547, 3277, 13021, 39991, 102943, 233017, 478297, 909091, 1623931, 2756293, 4482037, 7027567, 10678711, 15790321, 22796593, 32222107, 44693587, 60952381, 81867661, 108450343, 141867727, 183458857, 234750601, 297474451, 373584043, 465273397, 574995877

#32 by Stefano Spezia at Sat Apr 22 14:35:02 EDT 2023

LINKS

<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7, -21, 35, -35, 21, -7, 1).

FORMULA

E.g.f.: exp(x)*(1 + 21*x^2 +70*x^3 + 56*x^4 + 14*x^5 + x^6). - Stefano Spezia, Apr 22 2023

STATUS

approved

editing

#31 by N. J. A. Sloane at Mon Dec 26 21:24:00 EST 2016

STATUS

proposed

approved

#30 by Jon E. Schoenfield at Mon Dec 26 20:05:09 EST 2016

STATUS

editing

proposed

#29 by Jon E. Schoenfield at Mon Dec 26 20:05:07 EST 2016

NAME

a(n) = n^6 - n^5 + n^4 - n^3 + n^2 - n + 1.

LINKS

Harry J. Smith, <a href="/A060888/b060888.txt">Table of n, a(n) for n = 0,...,1000</a>

FORMULA

G.f.: (1 - 6x + 57x^2 + 232x^3 + 351x^4 + 78x^5 + 7x^6)/(1-x)^7. - Emeric Deutsch, Apr 01 2004

a(0)=1, a(1)=1, a(2)=43, a(3)=547, a(4)=3277, a(5)=13021, a(6)=39991, a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7). - Harvey P. Dale, Jul 21 2012

STATUS

proposed

editing

#28 by Wesley Ivan Hurt at Mon Dec 26 19:22:37 EST 2016

STATUS

editing

proposed

#27 by Wesley Ivan Hurt at Mon Dec 26 19:22:10 EST 2016

NAME

a(n) = n^6-n^5+n^4-n^3+n^2-n+1.

FORMULA

G.f.=: (1-6x+57x^2+232x^3+351x^4+78x^5+7x^6)/(1-x)^7. - Emeric Deutsch, Apr 01 2004

a(0)=1, a(1)=1, a(2)=43, a(3)=547, a(4)=3277, a(5)=13021, a(6)=39991, a(n)=7*a(n-1)-21*a(n-2)+35*a(n-3)-35*a(n-4)+21*a(n-5)- 7*a(n-6)+ a(n-7) -. - From __Harvey P. Dale_, Jul 21 2012

STATUS

proposed

editing