[seqfan] A145713 and company

[Douglas McNeil]

--
%S A145713 1,10,105,1180,14143,150036
%N A145713 Number of primes p in the range 9 < p <= prime(10^n) that
begin and end
               with the same digit.
%E A145713 Edited by N. J. A. Sloane, Aug 16 2010
%E A145713 The term 150036 is almost certainly wrong - see A145711.
--

I find

1 A145709 [1, 6, 39, 393, 7737, 103788, 1230898, 13344414, 120133545,
1092391851]
3 A145710 [0, 4, 32, 278, 2250, 18839, 162662, 1433999, 12811208, 115798814]
7 A145711 [0, 0, 32, 264, 2103, 17891, 155956, 1379175, 12374435, 112213301]
9 A145712 [0, 0, 2, 245, 2053, 17518, 153645, 1362970, 12244431, 111153241]
   A145713 [1, 10, 105, 1180, 14143, 158036, 1703161, 17520558,
157563619, 1431557207]

which agrees with all but the a(6) value on A145713 and extends the
sequences by several terms.  There's a bit of an inconsistency,
though, as in the OEIS, A145711 has an extra 0 compared to the above
because its offset is 0.  All the others use an offset of 1.

Any objections to making the offsets uniform at 1?  If not I'll edit
when I correct '713.. "almost certainly wrong" sounds like the sort of
thing we should fix even in summer.  ;-)


Doug

-- 
Department of Earth Sciences
University of Hong Kong