# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a361506 Showing 1-1 of 1 %I A361506 #20 Dec 03 2023 18:39:47 %S A361506 1,3,8,19,45,102,232,524,1181,2659,5984,13466,30300,68177,153400, %T A361506 345151,776590,1747330,3931495,8845865,19903197,44782195,100759939, %U A361506 226709865,510097199,1147718699,2582367075,5810325919,13073233320,29414774972,66183243689,148912298302 %N A361506 a(n) = floor( (4/5)*( (9/4)^(n+1)-1 ) ). %D A361506 N. Tokuda, An Improved Shellsort, IFIP Transactions, A-12 (1992) 449-457. %H A361506 Marcin Ciura, Best Increments for the Average Case of Shellsort, in R. Freivalds, (ed.), Fundamentals of Computation Theory: 13th International Symposium, FCT 2001, Riga, Latvia, August 2001, Lecture Notes in Computer Science, vol. 2138, Springer, pp. 106-117. %t A361506 A361506[n_]:=Floor[4/5((9/4)^(n+1)-1)];Array[A361506,50,0] (* _Paolo Xausa_, Dec 02 2023 *) %Y A361506 Other sequences used for Shell sort: A003462, A033622, A036562, A036564, A036569, A055875, A055876, A108870, A361507. %K A361506 nonn %O A361506 0,2 %A A361506 _N. J. A. Sloane_, Mar 20 2023, at the suggestion of _Don Knuth_. %E A361506 Some terms corrected by _Paolo Xausa_, Dec 02 2023 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE