

A092444


a(n+1) = 11*a(n)  a(n1)  3, a(0)=a(1)=1.


1



1, 1, 7, 73, 793, 8647, 94321, 1028881, 11223367, 122428153, 1335486313, 14567921287, 158911647841, 1733460204961, 18909150606727, 206267196469033, 2250030010552633, 24544062919609927, 267734662105156561
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OFFSET

0,3


COMMENTS

The old entry with this sequence number was a duplicate of A039963.
The simultaneous equations (p+1)(p+2) == 1 (mod q), (q+1)(q+2) == 1 (mod p), where p and q are odd, have solutions {3, 3}, {3, 21}, {7, 73}, {21, 507}, {73, 793}, {793, 8647} and suggested this recurrence.


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..980
Index entries for linear recurrences with constant coefficients, signature (12,12,1).
Index entries for sequences that are fixed points of mappings


FORMULA

a(n) = 2*(A004190(n)10*A004190(n1))/3+1/3. G.f.: (111x+7x^2)/((1x)(111x+x^2)). [From R. J. Mathar, Sep 20 2008]


CROSSREFS

Sequence in context: A093675 A121127 A071060 * A099141 A084768 A106651
Adjacent sequences: A092441 A092442 A092443 * A092445 A092446 A092447


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Sep 19 2008, based on emails from M. F. Hasler and Jim Nastos on Apr 25 2008


EXTENSIONS

More terms from R. J. Mathar, Sep 20 2008


STATUS

approved



