|
Search: id:A073709
|
|
| |
|
| 1, 1, 3, 3, 10, 10, 22, 22, 57, 57, 115, 115, 248, 248, 456, 456, 906, 906, 1598, 1598, 2956, 2956, 4980, 4980, 8802, 8802, 14422, 14422, 24440, 24440, 38856, 38856, 63881, 63881, 99515, 99515, 159106, 159106, 242654, 242654, 379609, 379609
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
The convolution of this sequence results in A073710, and is equal to the first differences of the unique terms of this sequence.
|
|
FORMULA
|
Let f(x) = sum_{n=0..inf} a(n) x^n, then f(x) satisfies the functional equation f(x^2)^2 = (1 - x)*f(x).
|
|
EXAMPLE
|
(1 +x +3x^2 +3x^3 +10x^4 +10x^5 +22x^6 +22x^7 +57x^8 +57x^9 +...)^2 = (1 +2x +7x^2 +12x^3 +35x^4 +58x^5 +133x^6 +208x^7 +450x^8 +...) and the first differences of {1,3,10,22,57,...} is {1,2,7,12,35,...}.
|
|
CROSSREFS
|
Cf. A073707, A073708, A073710.
Sequence in context: A054511 A134704 A057210 this_sequence A085288 A124630 A128015
Adjacent sequences: A073706 A073707 A073708 this_sequence A073710 A073711 A073712
|
|
KEYWORD
|
easy,nice,nonn
|
|
AUTHOR
|
Paul D. Hanna (pauldhanna(AT)juno.com), Aug 05 2002
|
|
|
Search completed in 0.002 seconds
|
