login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A202120 Number of -4..4 arrays of n elements with first, second and third differences also in -4..4 1

%I #5 Mar 31 2012 12:36:46

%S 9,61,323,1279,5205,21093,85771,348841,1418711,5769945,23467095,

%T 95443593,388180467,1578775913,6421070989,26115267153,106213924727,

%U 431984776463,1756933935339,7145661191995,29062261695493,118199706395781

%N Number of -4..4 arrays of n elements with first, second and third differences also in -4..4

%C Column 4 of A202124

%H R. H. Hardin, <a href="/A202120/b202120.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -3*a(n-2) -2*a(n-3) -30*a(n-5) +38*a(n-6) +3*a(n-7) +7*a(n-8) +53*a(n-9) -231*a(n-10) +162*a(n-11) +158*a(n-12) -324*a(n-13) +637*a(n-14) -176*a(n-15) -712*a(n-16) +106*a(n-17) -545*a(n-18) +1800*a(n-19) +1339*a(n-20) -2116*a(n-21) -1941*a(n-22) -4947*a(n-23) +1650*a(n-24) +8446*a(n-25) +2274*a(n-26) +2636*a(n-27) -8685*a(n-28) -8752*a(n-29) +6866*a(n-30) +5310*a(n-31) +13318*a(n-32) +342*a(n-33) -14687*a(n-34) -7785*a(n-35) -16694*a(n-36) -688*a(n-37) +10880*a(n-38) +8362*a(n-39) +17910*a(n-40) +1396*a(n-41) -5792*a(n-42) -4461*a(n-43) -9176*a(n-44) +954*a(n-45) +957*a(n-46) -1163*a(n-47) +2833*a(n-48) +949*a(n-49) +1131*a(n-50) +266*a(n-51) -1730*a(n-52) -345*a(n-53) +290*a(n-54) -5*a(n-55) -200*a(n-56) -141*a(n-57) +140*a(n-58) +85*a(n-59) +14*a(n-60) +18*a(n-61) -a(n-62) -2*a(n-63) for n>72

%e Some solutions for n=7

%e ..2....1...-4....0....4....0....3....3....4...-1...-2....2...-1...-4....1....1

%e .-2....1...-3...-2....4...-2....0...-1....0....2...-3....0...-2...-3...-3....4

%e .-4....2...-3...-3....4...-2....0...-4...-2....4...-3...-3...-4....1...-4....3

%e .-2....1...-4...-1....3...-1....2...-3...-3....3...-4...-3...-4....4...-3....1

%e ..1....0...-4....2....4....0....2...-2...-3....2...-3...-4...-2....3...-2....1

%e ..2...-1...-3....3....4....0....4....0...-1....0...-3...-3...-1....2...-2....1

%e ..3...-3...-3....0....2...-4....4....0....0...-1...-2...-4...-1....3....0....1

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 11 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)