A177515 Variance of linear convolution of symmetrized Fibonacci sequences.

1, 7, 1, 9, 4, 2

Offset

2,2

Comments

Rajan (2010) claims the variance of a discrete distribution generated by the linear convolution of Fibonacci sequence with itself, saturates to a constant of value 8.4721359 [A176453]... For a distribution generated by the linear convolution of symmetrized Fibonacci sequences, the variance saturates in an average sense to 17.1942.

Links

Table of n, a(n) for n=2..7.

Arulalan Rajan, Jamadagni, Vittal Rao and Ashok Rao, Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant, arXiv:1005.1231 [math.PR], 2010.

Example

17.1942....

Crossrefs

Sequence in context: A019855 A200288 A117493 * A196825 A021143 A153870

Adjacent sequences: A177512 A177513 A177514 * A177516 A177517 A177518

Keyword

nonn,cons,more

Author

Jonathan Vos Post, May 10 2010

Extensions

keyword:cons added R. J. Mathar, Aug 31 2010

Status

approved