Kashihara, Kenichiro Comments and topics on Smarandache notions and problems. (English) Zbl 0861.11004 Vail, AZ: Erhus Univ. Press. 50 p. (1996). In this book one finds explicit formulas, properties, and nice conjectures related to some of the Smarandache type sequences, such as: digital sums, amicable numbers, square and cubic complements, superior/inferior prime/square/cubic/\(m\)-power parts, prime/square/cubic/\(m\)-power additive complements, double factorials, quotients, primitive numbers, sequence of positions, progressions, counters, pseudo-primes/pseudo-factorials/pseudo-squares/pseudo-cubics/pseudo-\(m\)-powers of first/second/third kind, prime equation solutions, Goldbach-Smarandache/Vinogradov-Smarandache sequences, non-Smarandache/paradoxist numbers, prime/square/cubic/\(m\)-power bases, etc. Reviewer: Charles T Le (Vail) Cited in 4 ReviewsCited in 1 Document MSC: 11A25 Arithmetic functions; related numbers; inversion formulas 11B75 Other combinatorial number theory 11B83 Special sequences and polynomials 11A99 Elementary number theory Keywords:Goldbach-Smarandache sequences; Vinogradov-Smarandache sequences; digital sums; amicable numbers; complements; double factorials; quotients; primitive numbers; sequence of positions; progressions; counters; prime equation solutions PDFBibTeX XMLCite \textit{K. Kashihara}, Comments and topics on Smarandache notions and problems. Vail, AZ: Erhus Univ. Press (1996; Zbl 0861.11004) Online Encyclopedia of Integer Sequences: Concatenation of all the distinct permutations of the first 1, 2, 3, ... (strictly) positive integers, arranged in ascending numerical order.