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A241494
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Pyramid Top Numbers: write the decimal digits of 'n' (a nonnegative integer) and take successive absolute differences ("pyramidalization"). The number at the top of the pyramid is 'a(n)'.
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2
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 8, 7, 6, 5
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OFFSET
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0,3
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COMMENTS
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Through the so-called "pyramidalization" process (see A227876), a given nonnegative integer is expanded into its digits and transformed into a pyramid of successive absolute differences between digits. The present sequence is built only with the top number 'a(n)' generated from its correspondent nonnegative integer 'n'.
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LINKS
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FORMULA
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a(n)=n, if 0<=n<=9.
a(n)=|mod(n;10)-floor(n/10)|, if 10<=n<=99.
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EXAMPLE
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If n=1735, a(n)=0:
______0 ------>a(n)
____2_:_2
__6_:_4_:_2
1_:_7_:_3_:_5
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CROSSREFS
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Cf. A227876 for the pyramidalization process.
Cf. A076313 - its first 100 terms have the same absolute value, diverging afterwards; cf. A225693 and A055017 (A040997) for the same reason.
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KEYWORD
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AUTHOR
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STATUS
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approved
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