The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A192144 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A192144

1-sequence of reduction of hexagonal numbers sequence by x^2 -> x+1.
(history; published version)

#7 by Russ Cox at Fri Mar 30 18:57:33 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Jun 27 2011

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#6 by Bruno Berselli at Sat Feb 11 10:14:10 EST 2012

STATUS

proposed

approved

#5 by Colin Barker at Sat Feb 11 06:04:50 EST 2012

STATUS

editing

proposed

#4 by Colin Barker at Sat Feb 11 06:04:46 EST 2012

FORMULA

Empirical G.f.: x^2*(6-3*x+11*x^2-3*x^3)/(1-x)/(1-x-x^2)^3. [Colin Barker, Feb 11 2012]

STATUS

approved

editing

#3 by T. D. Noe at Tue Jun 28 11:25:16 EDT 2011

STATUS

proposed

approved

#2 by Clark Kimberling at Mon Jun 27 15:44:12 EDT 2011

NAME

allocated for Clark Kimberling1-sequence of reduction of hexagonal numbers sequence by x^2 -> x+1.

DATA

0, 6, 21, 77, 212, 542, 1270, 2830, 6043, 12503, 25208, 49772, 96572, 184646, 348641, 651201, 1204908, 2211018, 4027570, 7288750, 13113415, 23468331, 41799216, 74124312, 130925112, 230408262, 404121645, 706605365, 1231946948, 2142132278

OFFSET

1,2

COMMENTS

See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]".

MATHEMATICA

(See A192143.)

CROSSREFS

Cf. A192232, A192143.

KEYWORD

allocated

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Jun 27 2011

STATUS

approved

proposed

#1 by Clark Kimberling at Fri Jun 24 10:18:10 EDT 2011

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved