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A296521
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Anagrasum integers: integers N that exactly reproduce their set of digits when we form the set of sums of pairs of adjacent digits.
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2
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190, 1091, 1459, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 2091, 3091, 4091, 5091, 6091, 7091, 7189, 8091, 9091, 9180, 9541, 9817, 10091, 10819, 11082, 12073, 13064, 14055, 15046, 16037, 17028, 18019, 19000, 19001, 19002, 19003, 19004, 19005, 19006, 19007, 19008, 19009, 20091, 20819, 28011, 30091
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OFFSET
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1,1
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COMMENTS
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The sequence is infinite, since a term ending in zero can be extended with as many zeros as needed. The name "anagrasum numbers" comes from "anagram by sum". The "anagraprod numbers" will soon be in the OEIS (December 2017).
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LINKS
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EXAMPLE
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190 reproduces the digits 1, 9 and 0 (in a different order) when the sums 1+9=10 and 9+0=9 are taken. The same with 12073, for instance, which reproduces the digits 1, 2, 0, 7 and 3 when the sums 1+2=3, 2+0=2, 0+7=7 and 7+3=10 are formed.
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MATHEMATICA
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Select[Range[32000], Function[d, Sort@ Flatten@ Map[IntegerDigits[Total@ #] &, Partition[d, 2, 1]] == Sort@ d]@ IntegerDigits@ # &] (* Michael De Vlieger, Dec 14 2017 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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STATUS
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approved
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