|
| |
|
|
A156194
|
|
Period 12: 1,2,7,1,7,2,1,1,4,2,4,1 repeated.
|
|
3
| |
|
|
1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1, 1, 2, 7, 1, 7, 2, 1, 1, 4, 2, 4, 1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| Terms of the simple continued fraction of 1304/(sqrt(1542495)-355). [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 17 2009]
Also the decimal expansion of 42390704747/333333333333 . - R. J. Mathar, Feb 23 2009
|
|
|
LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,1).
|
|
|
FORMULA
| Palindromic properties: a(12k+i)=a(12k+6-i), i=0..3. a(12k+7+i)=a(12k+11-i), i=0..2, and similarly for successive differences.
a(n) = A156095(n) mod 9.
a(n) = A156094(n+6) mod 9.
a(4n)+a(4n+1)+a(4n+2)+a(4n+3)=A010850(n).
G.f.: (1+2*x+7*x^2+x^3+7*x^4+2*x^5+x^6+x^7+4*x^8+2*x^9+4*x^10+x^11)/((1-x)*(1+x+x^2)*(1+x)*(1-x+x^2)*(1+x^2)*(x^4-x^2+1)). - R. J. Mathar, Feb 23 2009
a(n)=(1/24)*{(n mod 12)+7*[(n+1) mod 12]-3*[(n+2) mod 12]+5*[(n+3) mod 12]-5*[(n+4) mod 12]+[(n+5) mod 12]+3*[(n+6) mod 12]+11*[(n+7) mod 12]-11*[(n+8) mod 12]+13*[(n+9) mod 12]-9*[(n+10) mod 12]-[(n+11) mod 12]}, with n>=0 [From Paolo P. Lava (paoloplava(AT)gmail.com), Feb 06 2009]
|
|
|
CROSSREFS
| Sequence in context: A065254 A010592 A096381 * A021372 A170936 A111714
Adjacent sequences: A156191 A156192 A156193 * A156195 A156196 A156197
|
|
|
KEYWORD
| nonn,easy,less
|
|
|
AUTHOR
| Paul Curtz (bpcrtz(AT)free.fr), Feb 05 2009
|
|
|
EXTENSIONS
| Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 23 2009
|
| |
|
|
