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 A141019 a(n) is the largest number in the n-th row of triangle A140996. 1
 1, 1, 2, 4, 8, 16, 31, 60, 116, 224, 432, 833, 1606, 3096, 5968, 11504, 22175, 42744, 84752, 169880, 340013, 679604, 1356641, 2704954, 5387340, 10718620, 21304973, 42308331, 83945336, 166423276, 329683867, 652627294, 1291020297, 2552209710, 5042305104 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Also the largest number in the n-th row of A140995. LINKS Table of n, a(n) for n=0..34. Juri-Stepan Gerasimov, Stepan's triangles and Pascal's triangle are connected by the recurrence relation ... FORMULA a(n) = max_{k=0..n} A140996(n,k). 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 16 8 4 2 1 is a(5) = 16. The largest number of 1 31 17 8 4 2 1 is a(6) = 31. MAPLE A140996 := 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 ; elif k=n-3 then 8 ; else procname(n-1, k)+procname(n-2, k) +procname(n-3, k)+procname(n-4, k)+procname(n-4, k-1) ; fi; end: A141019 := proc(n) max(seq(A140996(n, k), k=0..n)) ; end: for n from 0 to 50 do printf("%d, ", A141019(n)) ; od: # R. J. Mathar, Sep 19 2008 CROSSREFS Cf. A007318, A140993, A140994, A140995, A140996, A140997, A140998, A141020, A141021. Sequence in context: A189077 A118891 A107066 * A210003 A209888 A210021 Adjacent sequences: A141016 A141017 A141018 * A141020 A141021 A141022 KEYWORD nonn AUTHOR Juri-Stepan Gerasimov, Jul 11 2008 EXTENSIONS Partially edited by N. J. A. Sloane, Jul 18 2008 Simplified definition and extended by R. J. Mathar, Sep 19 2008 STATUS approved

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Last modified December 10 17:37 EST 2023. Contains 367713 sequences. (Running on oeis4.)