|
Search: id:A073153
|
|
| |
|
| 1, 1, 2, 4, 5, 9, 14, 18, 22, 36, 56, 70, 86, 100, 156, 237, 293, 349, 405, 461, 698, 1046, 1283, 1507, 1703, 1927, 2164, 3210, 4762, 5808, 6756, 6980, 7204, 8152, 9198, 13960, 21078
(list; table; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
Triangle {a(n, k), n >= 0, 0<=k<=n} defined by: a(0, 0)=1, a(n, 0)=A073155(n), a(n, n)=A073156(n), a(n, 0)=a(n-1, n-1) + 2*a(n-2, n-2) + a(n-3, n-3), a(n, k)=sum{j=0..k} A073155(j) * A073155(n-j).
|
|
EXAMPLE
|
a(4,0)=a(3,3)+2*a(2,2)+a(1,1)=2+2*9+36=56. a(5,2)=A073155(0)*A073155(5)+A073155(1)*A073155(4)+A073155(2)*A073155(3)= 1*237+1*56+4*14=349. Rows: {1}; {1,2}; {4,5,9}; {14,18,22,36}; {56,70,86,100,156}; {237,293,349,405,461,698}; {1046,1283,1507,1703,1927,2164,3210};...
|
|
CROSSREFS
|
Cf. A073154, A073155, A073156, A073157, A073153.
Sequence in context: A118550 A126697 A129282 this_sequence A073154 A103649 A077882
Adjacent sequences: A073150 A073151 A073152 this_sequence A073154 A073155 A073156
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Jul 29 2002
|
|
|
Search completed in 0.002 seconds
|
