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 A297627 Anagrexpo integers: integers N that exactly reproduce their set of digits when we form the set of exponentiation of pairs of adjacent digits, from left to right. 1
 52, 152, 1052, 1152, 2152, 2513, 3152, 4152, 4316, 5152, 5201, 5212, 6152, 6213, 7152, 8152, 9152, 10152, 11052, 11152, 12152, 12513, 13152, 14152, 14316, 15152, 15201, 15212, 16152, 16213, 17152, 18152, 19152, 20521, 21052, 21152, 25103, 25113, 30251, 30621, 31052, 31152, 32519, 41052, 41152, 43106 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The sequence is infinite, since any term of the sequence can be preceded by as many 1s as needed. The name "anagrexpo integers" comes from "anagram by exponentiation". The same idea is explored by the "anagraprod integers" and the "anagrasum integers" (see "Crossrefs" section hereunder). LINKS Jean-Marc Falcoz, Table of n, a(n) for n = 1..7707 EXAMPLE a(2) = 152 reproduces the digits 1, 5 and 2 (in a different order) when the exponentiations 1^5=1 and 5^2=25 are taken. The same with a(6) = 2513, which reproduces the digits 2, 5, 1, and 3 when the exponentiations 2^5=32, 5^1=5 and 1^3=1 are taken. MATHEMATICA Unprotect[Power]; Power[0, 0] := 1; Protect[Power]; Select[Range[10^5], SameQ @@ {Sort@ Flatten@ Map[IntegerDigits[Power @@ #] &, Partition[#, 2, 1]], Sort@ #} &@ IntegerDigits@ # &] (* Michael De Vlieger, Jan 02 2018 *) CROSSREFS Cf. A296451, A296521. Sequence in context: A227703 A044384 A044765 * A049059 A345240 A292172 Adjacent sequences: A297624 A297625 A297626 * A297628 A297629 A297630 KEYWORD base,nonn AUTHOR Eric Angelini and Jean-Marc Falcoz, Jan 02 2018 STATUS approved

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)