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␈¬↓␈¬α␈¬β␈¬∧␈¬¬␈¬α␈↓ ¬εSTANFORD UNIVERSITY␈↓ ↓H
␈¬β␈↓ ¬_STANFORD, CALIFORNIA 94305␈↓ ↓H
␈¬∧ARTIFICIAL INTELLIGENCE LABORATORY␈↓ 
+   Telephone:␈↓ ↓H
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+415-497-3330␈↓ ↓H
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␈¬↓␈↓ ¬iOctober 24, 1979␈↓ ↓H
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Professor Allan Gottlieb␈↓ ↓H
Dept. of Mathematics␈↓ ↓H
York College␈↓ ↓H
Jamaica, N.Y. 11451␈↓ ↓H
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Dear Professor Gottlieb:␈↓ ↓H
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␈↓ ↓HSupplementing␈α∞my␈α∞letter␈α∞to␈α∞you␈α∞dated␈α∞Oct.10th,␈α∞I␈α∞am␈α∞enclosing␈α∞some␈α∞additional␈α∞results␈α
relating␈α
to␈↓ ↓H
␈↓ ↓Hyour␈α
problem␈α
NS16␈α
(Palindromes)␈α
in␈α
the␈α
Aug./Sept.␈α
Technology␈α
Review.␈↓ ↓H
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␈↓ ↓HI␈αrewrote␈αmy␈αprogram␈αto␈αspeed␈αit␈αup␈αa␈αbit␈αand␈αextended␈αthe␈αanalysis␈αto␈α6-digit␈αnumbers.␈αAbout␈αthe␈↓ ↓H
␈↓ ↓Honly␈α
significant␈α
fact␈α
that␈α
seems␈α
to␈α
emerge␈α
is␈α
that␈α
the␈α
required␈α
number␈α
of␈α
adds␈α
seems␈α
to␈α
be␈α
going␈α
up.␈↓ ↓H
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␈↓ ↓HIt␈αseems␈αunlikely␈αthat␈αany␈αadditional␈αinsight␈αinto␈αthe␈αproblem␈αwill␈αbe␈αgained␈αby␈αfurther␈αcalculations␈↓ ↓H
␈↓ ↓Hof␈α
this␈α
sort.␈↓ ↓H
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␈↓ ↓HFor␈α
your␈α
convenience,␈α
I␈α
am␈α
tabulating␈α
some␈α
figures␈α
taken␈α
from␈α
the␈α
two␈α
runs.␈↓ ↓H
␈↓ ↓H␈¬¬␈↓ ↓H
    Number of digits        2       3       4       5       6␈↓ ↓H
    Intransigent classes    0       3      11     246     937␈↓ ↓H
    Intransigent cases      0      13     233    5774       *␈↓ ↓H
    Palindrome classes     18     177     331    3174    5561␈↓ ↓H
    Palindrome cases       90     887    8767   84226       *␈↓ ↓H
    Maximum adds for P's   24      23     21       55      64␈↓ ↓H
␈↓ αH* not computed but total would be 900000.␈↓ ↓H
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␈¬↓␈↓ ↓H
␈↓ εW
Sincerely,␈↓ εW
␈↓ εW
␈↓ εW
␈↓ εW
␈↓ εW
Arthur L. Samuel␈↓ εW
␈↓ εW
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enclosure: Oct.24 results␈↓ ↓H
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ALS:pdp10␈↓ ↓H