login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A096096
a(1) = 1, a(2) = 2, a(n+2) = a(n)#*#a(n+1) where #*# stands for digit-wise product of a(n) and a(n+1).
1
1, 2, 2, 4, 8, 32, 16, 312, 112, 314, 318, 9132, 3316, 273312, 99112, 6327314, 1863318, 62412219132, 2166273316, 4461247273312, 22244244999112, 8824441628186327314, 821283223224271863318, 81616128831243225662412219132, 64614329441512128872166273316
OFFSET
1,2
COMMENTS
0's arising in products like (0*3)=0 are ignored, but those from products like (2*5)=10 are retained. - Sean A. Irvine, Apr 28 2019
LINKS
EXAMPLE
a(7) = 16 and a(8) = 312, then a(9) = 112 as 016#*#312=112, the digit strings are (0*3)=0, (1*1)=1, (6*2)=12.
CROSSREFS
Sequence in context: A032440 A145869 A032439 * A300759 A100799 A070323
KEYWORD
base,nonn
AUTHOR
Amarnath Murthy, Jun 24 2004
EXTENSIONS
More terms from Sean A. Irvine, Sep 30 2009
STATUS
approved