|
Search: id:A103316
|
|
|
| A103316 |
|
Riordan array (1/(1+2x), x/(1+x)). |
|
+0
1
|
|
| 1, -2, 1, 4, -3, 1, -8, 7, -4, 1, 16, -15, 11, -5, 1, -32, 31, -26, 16, -6, 1, 64, -63, 57, -42, 22, -7, 1, -128, 127, -120, 99, -64, 29, -8, 1, 256, -255, 247, -219, 163, -93, 37, -9, 1, -512, 511, -502, 466, -382, 256, -130, 46, -10, 1, 1024, -1023, 1013, -968, 848, -638, 386, -176, 56, -11, 1, -2048, 2047, -2036, 1981
(list; table; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Inverse array of A029653. Signed version of A055248. Row sums are (-1)^n*A011782(n), with g.f. (1+x)/(1+2x). Diagonal sums are (-1)^n*A027934(n), with g.f. (1+x)/((1+2x)(1+x-x^2)).
|
|
FORMULA
|
Number triangle T(n, k)=(-1)^(n-k)*sum{j=0..n, binomial(n, k+j)}
|
|
EXAMPLE
|
Rows start {1}, {-2,1}, {4,-3,1}, {-8,7,-4,1},...
|
|
CROSSREFS
|
Sequence in context: A134392 A048483 A055248 this_sequence A140069 A105851 A164967
Adjacent sequences: A103313 A103314 A103315 this_sequence A103317 A103318 A103319
|
|
KEYWORD
|
easy,sign,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Jan 30 2005
|
|
|
Search completed in 0.002 seconds
|
