The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A298977

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A298977

Base-7 complementary numbers: n equals the product of the 7 complement (7-d) of its base-7 digits d.
(history; published version)

#14 by Georg Fischer at Wed Feb 27 12:30:34 EST 2019

STATUS

editing

approved

#13 by Georg Fischer at Wed Feb 27 12:30:22 EST 2019

LINKS

<a href="/index/Rec#order_0302">Index entries for linear recurrences with constant coefficients</a>, signature (0, 7).

STATUS

approved

editing

Discussion

Wed Feb 27

12:30

Georg Fischer: Link to wrong order.

#12 by Susanna Cuyler at Sat Feb 10 17:54:18 EST 2018

STATUS

proposed

approved

#11 by Jon E. Schoenfield at Sat Feb 10 14:37:04 EST 2018

STATUS

editing

proposed

#10 by Jon E. Schoenfield at Sat Feb 10 14:37:01 EST 2018

NAME

Base -7 complementary numbers: n equals the product of the 7 complement (7-d) of its base-7 digits d.

COMMENTS

See A294090 for the base -10 variant, which is the main entry, and A298976 for the base -6 variant.

STATUS

proposed

editing

#9 by Colin Barker at Sat Feb 10 14:21:59 EST 2018

STATUS

editing

proposed

#8 by Colin Barker at Sat Feb 10 14:21:47 EST 2018

LINKS

Colin Barker, <a href="/A298977/b298977.txt">Table of n, a(n) for n = 1..1000</a>

STATUS

approved

editing

#7 by N. J. A. Sloane at Sat Feb 10 10:07:04 EST 2018

STATUS

proposed

approved

#6 by Colin Barker at Sat Feb 10 03:02:28 EST 2018

STATUS

editing

proposed

#5 by Colin Barker at Sat Feb 10 03:01:22 EST 2018

DATA

12, 84, 120, 588, 840, 4116, 5880, 28812, 41160, 201684, 288120, 1411788, 2016840, 9882516, 14117880, 69177612, 98825160, 484243284, 691776120, 3389702988, 4842432840, 23727920916, 33897029880, 166095446412, 237279209160, 1162668124884, 1660954464120

FORMULA

From Colin Barker, Feb 10 2018: (Start)

G.f.: 12*x*(1 + 7*x + 3*x^2) / (1 - 7*x^2).

a(n) = 12*7^(n/2) for n>1 and even.

a(n) = 120*7^((n-3)/2) for n>1 and odd.

(End)

PROG

(PARI) Vec(12*x*(1 + 7*x + 3*x^2) / (1 - 7*x^2) + O(x^60)) \\ Colin Barker, Feb 10 2018

EXTENSIONS

More terms from Colin Barker, Feb 10 2018

STATUS

proposed

editing