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 A244788 T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. 15
 2, 1, 2, 2, 3, 4, 3, 6, 7, 8, 4, 13, 20, 17, 12, 5, 18, 51, 72, 41, 24, 4, 23, 88, 201, 268, 123, 36, 5, 26, 135, 454, 941, 876, 345, 72, 6, 33, 166, 851, 2424, 4153, 3236, 953, 144, 7, 48, 243, 1116, 5101, 13270, 18143, 12284, 2613, 252, 6, 57, 382, 1919, 7730, 30359, 73988 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ...2....1......2.......3........4........5.........4.........5..........6 ...2....3......6......13.......18.......23........26........33.........48 ...4....7.....20......51.......88......135.......166.......243........382 ...8...17.....72.....201......454......851......1116......1919.......3162 ..12...41....268.....941.....2424.....5101......7730.....14519......26882 ..24..123....876....4153....13270....30359.....54842....118709.....249138 ..36..345...3236...18143....73988...197949....396488....940083....2280068 ..72..953..12284...87353...384360..1246529...2909656...7875465...21006940 .144.2613..42396..405423..2126012..8310879..21610932..64293499..195017988 .252.7149.159876.1865359.11983288.53948531.162100016.547533077.1823805952 Computation in integer form, using 6 times the 0..k mean and 36 times the variance, mean6(k)=3*k; var36(k)=6*k*(2*k+1)-mean6(k)^2; then (6*sum{x(i),i=1..j}-j*mean6(k))^2<=j*var36(k) for all j=1..n LINKS R. H. Hardin, Table of n, a(n) for n = 1..9999 EXAMPLE Some solutions for n=10 k=4 ..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1 ..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1 ..2....3....2....3....2....3....3....3....4....3....4....3....2....2....4....4 ..4....4....4....2....3....2....3....3....1....4....0....1....4....4....3....1 ..3....3....2....3....2....1....1....3....1....3....3....4....2....2....1....2 ..2....0....3....1....3....4....2....4....4....0....3....2....3....1....1....3 ..4....4....3....2....4....3....4....2....0....0....1....4....3....4....4....0 ..0....4....4....1....0....0....1....1....1....2....1....2....0....4....1....0 ..4....1....0....3....0....0....2....4....3....3....3....4....3....0....4....4 ..3....0....0....3....1....4....4....0....3....2....1....2....1....4....3....3 CROSSREFS Sequence in context: A225502 A152227 A246583 * A078660 A239239 A241701 Adjacent sequences:  A244785 A244786 A244787 * A244789 A244790 A244791 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Jul 06 2014 STATUS approved

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Last modified September 22 06:08 EDT 2020. Contains 337289 sequences. (Running on oeis4.)