The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A057147 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A057147

a(n) = n times sum of digits of n.
(history; published version)

#32 by Bruno Berselli at Wed Mar 28 03:58:29 EDT 2018

STATUS

reviewed

approved

#31 by Vaclav Kotesovec at Wed Mar 28 03:28:08 EDT 2018

STATUS

proposed

reviewed

#30 by Ilya Gutkovskiy at Tue Mar 27 13:51:15 EDT 2018

STATUS

editing

proposed

Discussion

Wed Mar 28

03:28

Vaclav Kotesovec: The formula is correct, but it's not the best way to generate terms. In Mathematica, program CoefficientList[Series[x*D[(1/(1 - x))* Sum[(x^k - x^(10^k + k) - 9*x^(10^k))/(1 - x^(10^k)), {k, 1, nmax}], x], {x, 0, nmax}], x] the program works correctly only for nmax<=18. For nmax=19 I got an error message: "PolynomialGCD::lrgexp: Exponent is out of bounds for function PolynomialGCD."

#29 by Ilya Gutkovskiy at Tue Mar 27 13:27:55 EDT 2018

FORMULA

G.f.: x * (d/dx) (1/(1 - x))*Sum_{k>=1} (x^k - x^(10^k+k) - 9*x^(10^k))/(1 - x^(10^k)). - Ilya Gutkovskiy, Mar 27 2018

STATUS

approved

editing

#28 by N. J. A. Sloane at Mon Aug 21 22:47:06 EDT 2017

STATUS

reviewed

approved

#27 by Wesley Ivan Hurt at Mon Aug 21 11:59:26 EDT 2017

STATUS

proposed

reviewed

Discussion

Mon Aug 21

12:11

Michel Marcus: ok yes

#26 by Wesley Ivan Hurt at Mon Aug 21 11:59:21 EDT 2017

STATUS

editing

proposed

#25 by Wesley Ivan Hurt at Mon Aug 21 11:59:06 EDT 2017

LINKS

F. B. Diniz, <a href="http://arxiv.org/abs/1607.06082">About a New Family new family of Sequencessequences</a>, arXiv:1607.06082 [math.GM], 2016.

STATUS

proposed

editing

#24 by Michel Marcus at Mon Aug 21 10:51:22 EDT 2017

STATUS

editing

proposed

#23 by Michel Marcus at Mon Aug 21 10:51:15 EDT 2017

REFERENCES

# Felipe B. Diniz, About a new family of sequences, arXiv preprint arXiv:1607.06082, 2016

LINKS

F. B. Diniz, <a href="http://arxiv.org/abs/1607.06082">About a New Family of Sequences</a>, arXiv:1607.06082 [math.GM], 2016.

STATUS

approved

editing