Definition:Pluperfect Digital Invariant/Sequence

Sequence of Pluperfect Digital Invariants

The complete sequence of pluperfect digital invariants is:

$1, 2, 3, 4, 5, 6, 7, 8, 9,$

$153, 370, 371, 407,$

$1634, 8208, 9474,$

$54748, 92727, 93084,$

$548834, 1741725,$

$4210818, 9800817, 9926315,$

$24678050, 24678051, 88593477,$

$146511208, 472335975, 534494836, 912985153,$

$4679307774,$

$32164049650, 32164049651, 40028394225, 42678290603, 44708635679, 49388550606, 82693916578, 94204591914,$

$28116440335967,$

$4338281769391370, 4338281769391371,$

$21897142587612075, 35641594208964132, 35875699062250035,$

$1517841543307505039, 3289582984443187032, 4498128791164624869, 4929273885928088826,$

$63105425988599693916,$

$128468643043731391252, 449177399146038697307,$

$21887696841122916288858, 27879694893054074471405, 27907865009977052567814,$

$28361281321319229463398, 35452590104031691935943,$

$174088005938065293023722, 188451485447897896036875, 239313664430041569350093,$

$1550475334214501539088894, 1553242162893771850669378, 3706907995955475988644380,$

$3706907995955475988644381, 4422095118095899619457938,$

$121204998563613372405438066, 121270696006801314328439376, 128851796696487777842012787,$

$174650464499531377631639254, 177265453171792792366489765,$

$14607640612971980372614873089, 19008174136254279995012734740,$

$19008174136254279995012734741, 23866716435523975980390369295,$

$1145037275765491025924292050346, 1927890457142960697580636236639, 2309092682616190307509695338915,$

$17333509997782249308725103962772,$

$186709961001538790100634132976990, 186709961001538790100634132976991,$

$1122763285329372541592822900204593,$

$12639369517103790328947807201478392, 12679937780272278566303885594196922,$

$1219167219625434121569735803609966019,$

$12815792078366059955099770545296129367,$

$115132219018763992565095597973971522400, 115132219018763992565095597973971522401$

This sequence is A005188 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Sources

• Weisstein, Eric W. "Narcissistic Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NarcissisticNumber.html