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!)
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
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
MATHEMATICA
T[n_, k_] := T[n, k] = Which[k < 0 || k > n, 0, k == 0 || k == n, 1, k == n - 1, 2, k == n-2, 4, k == n-3, 8, True, T[n-1, k] + T[n-2, k] + T[n-3, k] + T[n-4, k] + T[n-4, k-1]];
a[n_] := Table[T[n, k], {k, 0, n}] // Max;
Table[a[n], {n, 0, 34}] (* Jean-François Alcover, Jan 28 2024, after R. J. Mathar *)
CROSSREFS
Sequence in context: A189077 A118891 A107066 * A210003 A209888 A210021
KEYWORD
nonn
AUTHOR
EXTENSIONS
Partially edited by N. J. A. Sloane, Jul 18 2008
Simplified definition and extended by R. J. Mathar, Sep 19 2008
STATUS
approved

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 06:44 EDT 2024. Contains 371265 sequences. (Running on oeis4.)