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A153753 Numbers n such that there are 18 digits in n^2 and for each factor f of 18 (1,2,3,6,9) the sum of digit groupings of size f is a square. 1
324344373, 333306315, 333321861, 333359685, 333361029, 334363803, 369396732, 370397193, 407380269, 407381484, 444475035, 666636972, 666695028, 666701463, 702667239, 702671124, 702736170, 703667130, 704741610 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This series is a subset of both A153745 and A061910.

LINKS

Table of n, a(n) for n=1..19.

EXAMPLE

324344373^2 = 105199272296763129;

1+0+5+1+9+9+2+7+2+2+9+6+7+6+3+1+2+9 = 81 = 9^2;

10+51+99+27+22+96+76+31+29 = 441 = 21^2;

105+199+272+296+763+129 = 1764 = 42^2;

105199+272296+763129 = 1140624 = 1068^2;

105199272+296763129 = 401962401 = 20049^2.

CROSSREFS

Cf. A153745, A061910, A004159.

Sequence in context: A184573 A112429 A104923 * A035794 A260083 A233708

Adjacent sequences:  A153750 A153751 A153752 * A153754 A153755 A153756

KEYWORD

nonn,base,fini,full

AUTHOR

Doug Bell, Dec 31 2008

STATUS

approved

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Last modified May 22 19:46 EDT 2019. Contains 323481 sequences. (Running on oeis4.)