The On-Line Encyclopedia of Integer Sequences (OEIS)

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A220206

Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 3Xn array
(history; published version)

#4 by R. H. Hardin at Fri Dec 07 07:08:43 EST 2012

STATUS

editing

approved

#3 by R. H. Hardin at Fri Dec 07 07:08:39 EST 2012

LINKS

R. H. Hardin, <a href="/A220206/b220206.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Fri Dec 07 07:08:22 EST 2012

NAME

allocated for R. H. Hardin

Number of 3Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 3Xn array

DATA

10, 38, 238, 956, 3294, 10762, 33804, 101396, 290268, 797260, 2114037, 5437406, 13608427, 33213956, 79197154, 184791538, 422567975, 948321570, 2091208462, 4536221049, 9688543730, 20391555264, 42323960656, 86685565242, 175300099767

OFFSET

1,1

COMMENTS

Row 3 of A220204

FORMULA

Empirical: a(n) = (1/403291461126605635584000000)*n^26 - (1/10340806695553990656000000)*n^25 - (1/124089680346647887872000)*n^24 + (1/817455074747351040000)*n^23 - (10039/269760174666625843200000)*n^22 - (199/143413171008307200000)*n^21 + (3959/23580434848481280000)*n^20 - (7187/1429117263544320000)*n^19 - (3063251/99286041467289600000)*n^18 + (3134525899/430239513024921600000)*n^17 - (18293331293/83517081940131840000)*n^16 + (14052701359/9279675771125760000)*n^15 + (927423920085097/10857220652217139200000)*n^14 - (71195294832587/25308206648524800000)*n^13 + (1453021031112971/41758540970065920000)*n^12 + (2941010310311/115037302947840000)*n^11 - (563880275631711089/80669908692172800000)*n^10 + (28582734418296013/271615854182400000)*n^9 - (4249867083162807899/5895108712120320000)*n^8 + (2277798744259856921/1965036237373440000)*n^7 + (412311744610887150719/22516040219904000000)*n^6 - (2333464272159792749359/24392376904896000000)*n^5 - (1203874529306099107997/1870082229375360000)*n^4 + (602265476891826109/59651745753600)*n^3 - (120139113981888058/2153403927675)*n^2 + (13189821894253/83140200)*n - 196824 for n>9

EXAMPLE

Some solutions for n=3

..1..1..1....2..1..1....1..0..0....1..1..1....2..0..0....1..1..1....0..0..0

..3..1..1....3..1..1....3..0..0....2..1..1....1..0..0....2..1..1....0..0..0

..3..3..1....3..2..1....3..1..0....3..3..3....1..0..0....3..3..2....2..0..0

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin Dec 07 2012

STATUS

approved

editing

#1 by R. H. Hardin at Fri Dec 07 06:57:31 EST 2012

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved