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 A141018 a(n) is the largest number in the n-th row of triangle A140997. 3
 1, 1, 2, 4, 8, 15, 28, 52, 96, 177, 345, 694, 1386, 2751, 5431, 10672, 20885, 40724, 79153, 153402, 296528, 571845, 1129293, 2264749, 4527029, 9021498, 17926740, 35527082, 70230422, 138504765, 272545323, 535184340, 1048842743, 2051669285, 4006253136, 7954830148 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also the largest number of the n-th row of A140994. LINKS Juri-Stepan Gerasimov, Stepan's triangles and Pascal's triangle are connected by the recurrence relation ... EXAMPLE The largest number of 1 is a(0) = 1. The largest number of 1 1 is a(1) = 1. The largest number of 1 2 1 is a(2) = 2. The largest number of 1 4 2 1 is a(3) = 4. The largest number of 1 8 4 2 1 is a(4) = 8. The largest number of 1 15 9 4 2 1 is a(5) = 15. The largest number of 1 28 19 9 4 2 1 is a(6) = 28. The largest number of 1 52 40 19 9 4 2 1 is a(7) = 52. MAPLE A140997 := proc(n, k) option remember ; if k<0 or k>n then 0 ; elif k=0 or k=n then 1 ; elif k=n-1 then 2 ; elif k=n-2 then 4 ; else procname(n-1, k)+procname(n-2, k)+procname(n-3, k)+procname(n-3, k-1) ; fi; end: A141018 := proc(n) max(seq(A140997(n, k), k=0..n)) ; end: for n from 0 to 60 do printf("%d, ", A141018(n)) ; od: # R. J. Mathar, Sep 19 2008 CROSSREFS Cf. A007318, A140993, A140994, A140995, A140996, A140997, A140998, A141020, A141021. Sequence in context: A073769 A008937 A128805 * A049864 A239554 A268393 Adjacent sequences:  A141015 A141016 A141017 * A141019 A141020 A141021 KEYWORD nonn,changed AUTHOR Juri-Stepan Gerasimov, Jul 11 2008 EXTENSIONS Partially edited by N. J. A. Sloane, Jul 18 2008 Simplified definition, corrected from a(12) on and extended by R. J. Mathar, Sep 19 2008 STATUS approved

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Last modified June 26 20:30 EDT 2019. Contains 324380 sequences. (Running on oeis4.)