A266103 Number of 3 X n integer arrays with each element equal to the number of horizontal and antidiagonal neighbors exactly one smaller than itself.

1, 16, 64, 161, 736, 3846, 16103, 62778, 274466, 1238762, 5293041, 22276043, 96335136, 419550430, 1803305352, 7726652568, 33323635453, 143929545318, 619694522447, 2666428933331, 11491110825839, 49536410438938

Offset

1,2

Comments

Row 3 of A266101.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +10*a(n-3) +60*a(n-4) -241*a(n-5) -275*a(n-6) -275*a(n-7) -1906*a(n-8) +266*a(n-10) +23553*a(n-11) +69768*a(n-12) -50662*a(n-13) -109039*a(n-14) -248005*a(n-15) -977832*a(n-16) +907466*a(n-17) +5373976*a(n-18) +8491160*a(n-19) +9435986*a(n-20) +1644865*a(n-21) -7010416*a(n-22) -13190485*a(n-23) -19551301*a(n-24) -9946324*a(n-25) -6037790*a(n-26) +3234342*a(n-27) +10883758*a(n-28) -1052994*a(n-29) +7949179*a(n-30) -1563048*a(n-31) +1098828*a(n-32) +11920090*a(n-33) +5977957*a(n-34) +20415705*a(n-35) +3449370*a(n-36) -7285989*a(n-37) -8698518*a(n-38) -13671771*a(n-39) -4863001*a(n-40) -5896817*a(n-41) -1867155*a(n-42) +2201749*a(n-43) +3172499*a(n-44) +3923456*a(n-45) +1976757*a(n-46) +1117259*a(n-47) +326318*a(n-48) -477791*a(n-49) -602510*a(n-50) -384845*a(n-51) -145647*a(n-52) -80645*a(n-53) -45723*a(n-54) +11145*a(n-55) +31554*a(n-56) +13446*a(n-57) +4398*a(n-58) +2741*a(n-59) -52*a(n-60) -526*a(n-61) -71*a(n-62) +19*a(n-63) +3*a(n-64) for n>68.

Example

Some solutions for n=4:
..1..0..1..1....1..0..0..0....0..0..0..0....0..0..0..1....1..0..1..2
..0..2..0..0....0..0..2..1....1..2..0..0....0..0..1..1....0..2..1..1
..1..0..0..1....1..1..0..0....1..0..0..0....1..2..0..0....0..0..0..0

Crossrefs

Cf. A266101.

Sequence in context: A205064 A102860 A136264 * A100184 A304845 A190099

Adjacent sequences: A266100 A266101 A266102 * A266104 A266105 A266106

Keyword

nonn

Author

R. H. Hardin, Dec 21 2015

Status

approved