|
Search: id:A125797
|
|
| |
|
| 1, 2, 9, 84, 1625, 64350, 5174449, 841185704, 275723872209, 181906966455026, 241258554545388985, 642662865556736504700, 3436011253857466940820073, 36852501476559726217536067974, 792571351187806816558255494473185
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Table A125790 is related to partitions into powers of 2, with A002577 in column 1 of A125790; further, column k of A125790 equals row sums of matrix power A078121^k, where triangle A078121 shifts left one column under matrix square.
|
|
PROGRAM
|
(PARI) {a(n)=local(q=2, A=Mat(1), B); for(m=1, n+1, B=matrix(m, m); for(i=1, m, for(j=1, i, if(j==i|j==1, B[i, j]=1, B[i, j]=(A^q)[i-1, j-1]); )); A=B); return(sum(c=0, n, (A^n)[n+1, c+1]))}
|
|
CROSSREFS
|
Cf. A125790, A078121; columns: A002577, A125792, A125793, A125794, A125795, A125796; A125798 (diagonal).
Sequence in context: A069234 A086929 A120959 this_sequence A106163 A068595 A037172
Adjacent sequences: A125794 A125795 A125796 this_sequence A125798 A125799 A125800
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Dec 10 2006
|
|
|
Search completed in 0.002 seconds
|
