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A250429 Number of (n+1)X(5+1) 0..1 arrays with nondecreasing sum of every two consecutive values in every row and column 2
256, 1600, 10000, 40000, 160000, 490000, 1500625, 3841600, 9834496, 22127616, 49787136, 101606400, 207360000, 392040000, 741200625, 1317690000, 2342560000, 3958926400, 6690585616, 10837642816, 17555190016, 27429984400, 42859350625 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A250432.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 2*a(n-1) +10*a(n-2) -22*a(n-3) -44*a(n-4) +110*a(n-5) +110*a(n-6) -330*a(n-7) -165*a(n-8) +660*a(n-9) +132*a(n-10) -924*a(n-11) +924*a(n-13) -132*a(n-14) -660*a(n-15) +165*a(n-16) +330*a(n-17) -110*a(n-18) -110*a(n-19) +44*a(n-20) +22*a(n-21) -10*a(n-22) -2*a(n-23) +a(n-24)

Empirical for n mod 2 = 0: a(n) = (1/5308416)*n^12 + (5/442368)*n^11 + (407/1327104)*n^10 + (275/55296)*n^9 + (5933/110592)*n^8 + (415/1024)*n^7 + (182201/82944)*n^6 + (3715/432)*n^5 + (62483/2592)*n^4 + (2545/54)*n^3 + (731/12)*n^2 + (140/3)*n + 16

Empirical for n mod 2 = 1: a(n) = (1/5308416)*n^12 + (5/442368)*n^11 + (817/2654208)*n^10 + (2225/442368)*n^9 + (97157/1769472)*n^8 + (3455/8192)*n^7 + (3101111/1327104)*n^6 + (2080805/221184)*n^5 + (144963631/5308416)*n^4 + (24654385/442368)*n^3 + (7461475/98304)*n^2 + (3044125/49152)*n + (1500625/65536).

a(n+1) = A202096(n). - R. J. Mathar, Dec 02 2014

EXAMPLE

Some solutions for n=5

..0..0..0..0..0..0....0..0..0..0..1..1....0..0..0..0..0..1....0..0..0..0..0..1

..0..0..1..1..1..1....0..0..0..0..1..1....0..0..0..0..1..1....0..0..1..0..1..0

..0..0..0..0..0..0....1..0..1..1..1..1....0..0..0..0..0..1....0..0..0..1..1..1

..0..0..1..1..1..1....1..0..1..0..1..1....0..0..0..1..1..1....0..0..1..1..1..1

..0..0..0..1..0..1....1..0..1..1..1..1....0..0..0..1..0..1....1..1..1..1..1..1

..1..0..1..1..1..1....1..1..1..1..1..1....0..0..0..1..1..1....0..0..1..1..1..1

CROSSREFS

Sequence in context: A238081 A238074 A251974 * A238155 A238148 A237927

Adjacent sequences:  A250426 A250427 A250428 * A250430 A250431 A250432

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 22 2014

STATUS

approved

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Last modified February 27 21:54 EST 2020. Contains 332310 sequences. (Running on oeis4.)