Saturday, October 31, 2015

More Examples of Sequence Numbers

10/31/2015




The 1, 0, 1 Tribonacci Sequence:
Defined as: a(0) = a(1) = 0, a(2) = 1, and when n>2 then a(n) = a(n-1) + a(n-3).
The Sequence Number is:
999,998,999,999,999,999
1/999998999999999999 =
0.
000000  000000  000001  000001  000001  000002  000003  000004  000006  000009  000013  000019  000028  000041  000060  000088  000129  000189  000277  000406  000595  000872  001278  001873  002745  004023  005896  008641  012664  018560  027201  039865  058425  085626  125491  183916  269542  395033  578949 
Terms are written in six digit strings.
Terms are accurate up to the 36th non-zero term.
This sequence is not found in the OEIS collection – yet!

The 1, 0, 1, 0, 0, 0, 1, 0, 1 Nonanacci Sequence.
Defined as: a(0) = a(1) = a(2) = a(3) = a(4) = a(5) = a(6) = a(7) = 0, a(8) = 1, and when n>8 then a(n) = a(n-1) + a(n-3) + a(n-7) + a(n-9).
The Sequence Number is:
999,998,999,999,999,998,999,999,999,999,999,999,999,998,
999,999,999,999
1/999998999999999998999999999999999999999998999999
999999 =
0.
000000  000000  000000  000000  000000  000000  000000  000000  000001  000001  000001  000002  000003  000004  000006  000010  000015  000023  000036  000055  000084  000129  000198  000303  000465  000714  001095  001680  002578  003955  006067  009308  014280  021907  033609  051562  079104  121358  186183  285634  438207 
Terms are written in six digit strings.
Terms are accurate up to the 33rd non-zero term.
This sequence is not found in the OEIS collection – yet!

1 comment:

  1. a(0)=0 , a(1)=1 ; a(n)=a(n-1)
    1/90 = 0.0 1 1 1 1 1 1 1 1 1 ...

    a(0)=0 , a(1)=1 ; a(n) = a(n-2)
    1/99 = 0.0 1 0 1 0 1 0 1 0 1 ...

    ReplyDelete