|
Search: id:A141018
|
|
|
| A141018 |
|
a(n) is the largest number in the n-th row of triangle A140997. |
|
+0
1
|
|
| 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; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Also the largest number of the n-th row of A140994.
|
|
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, A140997, A140994.
Sequence in context: A073769 A008937 A128805 this_sequence A049864 A118870 A088532
Adjacent sequences: A141015 A141016 A141017 this_sequence A141019 A141020 A141021
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 11 2008
|
|
EXTENSIONS
|
Partially edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 18 2008
Simplified definition, corrected from a(12) on and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 19 2008
|
|
|
Search completed in 0.002 seconds
|
